☐ Compare and order fractions including unlike denominators (with and without the use of a number line) Note: Commonly used fractions such as those that might be indicated on ruler, measuring cup, etc. An example of a negative mixed fraction: -5 1/2. The slash separates the numerator (number above a fraction line) and denominator (number below). Since this is a negative fraction, the negative symbol may not always “follow” the number that it is initially attached to. And so, after inverting the two numbers, the negative symbol is now attached to 2. wikiHow is where trusted research and expert knowledge come together. When the numerator and denominator of a fraction are equal ( 7 7 {\displaystyle {\tfrac {7}{7}}} , for example), its value is 1, and the fraction therefore is improper. Hence, the reciprocal of 11/4 is 4/11. The reciprocal of ¾ is 4/3. Frustum of a Cone or Pyramid. For example, the reciprocal of 9 is 1 divided by 9, i.e. Now, if we multiply a number by its reciprocal, it gives a value equal to 1. Find the reciprocal of a fraction by flipping it. Function Operations. By signing up you are agreeing to receive emails according to our privacy policy. 1/8. (3) A fraction has a value of 3/4. This article has been viewed 233,626 times. For more information on finding reciprocals and other maths concepts, visit BYJU’S and also get various maths related videos to understand the concept in an easy and engaging way. This is also a valid answer as the reciprocal of the original fraction. For some values of x, the function `cos x` has value `0`. The reciprocal of negative 1/2 is negative … In maths, when you take the reciprocal twice, you will get the same number that you started with. We use cookies to make wikiHow great. All the numbers have reciprocal except 0. Here you get the same number where you started with. Remember that dividing by a number is the same as multiplying by its reciprocal. Start by following the basic process for fraction multiplication, turning any mixed fractions into improper ones. Now, you get the fraction and do the same operation for finding the reciprocal by flipping the numerator and the denominator. For example, the reciprocal of 9 is 1 divided by 9, i.e. The reciprocal of 2.72 is (1 divided by 2.72)=0.367647 to six significant figures. For example, when `x=pi/2`, the value of `cos {:π/2:}` is `0`, and when `x=(3pi)/2`, we have `cos{:(3π)/2:}=0`. Mixed Fraction to Improper Fraction multiply the whole number with the denominator and add the numerator to it. A reciprocal is a fraction where the numerator and denominator switch places. Multiply a negative fraction by a negative number. CBSE Previous Year Question Papers Class 10, CBSE Previous Year Question Papers Class 12, NCERT Solutions Class 11 Business Studies, NCERT Solutions Class 12 Business Studies, NCERT Solutions Class 12 Accountancy Part 1, NCERT Solutions Class 12 Accountancy Part 2, NCERT Solutions For Class 6 Social Science, NCERT Solutions for Class 7 Social Science, NCERT Solutions for Class 8 Social Science, NCERT Solutions For Class 9 Social Science, NCERT Solutions For Class 9 Maths Chapter 1, NCERT Solutions For Class 9 Maths Chapter 2, NCERT Solutions For Class 9 Maths Chapter 3, NCERT Solutions For Class 9 Maths Chapter 4, NCERT Solutions For Class 9 Maths Chapter 5, NCERT Solutions For Class 9 Maths Chapter 6, NCERT Solutions For Class 9 Maths Chapter 7, NCERT Solutions For Class 9 Maths Chapter 8, NCERT Solutions For Class 9 Maths Chapter 9, NCERT Solutions For Class 9 Maths Chapter 10, NCERT Solutions For Class 9 Maths Chapter 11, NCERT Solutions For Class 9 Maths Chapter 12, NCERT Solutions For Class 9 Maths Chapter 13, NCERT Solutions For Class 9 Maths Chapter 14, NCERT Solutions For Class 9 Maths Chapter 15, NCERT Solutions for Class 9 Science Chapter 1, NCERT Solutions for Class 9 Science Chapter 2, NCERT Solutions for Class 9 Science Chapter 3, NCERT Solutions for Class 9 Science Chapter 4, NCERT Solutions for Class 9 Science Chapter 5, NCERT Solutions for Class 9 Science Chapter 6, NCERT Solutions for Class 9 Science Chapter 7, NCERT Solutions for Class 9 Science Chapter 8, NCERT Solutions for Class 9 Science Chapter 9, NCERT Solutions for Class 9 Science Chapter 10, NCERT Solutions for Class 9 Science Chapter 12, NCERT Solutions for Class 9 Science Chapter 11, NCERT Solutions for Class 9 Science Chapter 13, NCERT Solutions for Class 9 Science Chapter 14, NCERT Solutions for Class 9 Science Chapter 15, NCERT Solutions for Class 10 Social Science, NCERT Solutions for Class 10 Maths Chapter 1, NCERT Solutions for Class 10 Maths Chapter 2, NCERT Solutions for Class 10 Maths Chapter 3, NCERT Solutions for Class 10 Maths Chapter 4, NCERT Solutions for Class 10 Maths Chapter 5, NCERT Solutions for Class 10 Maths Chapter 6, NCERT Solutions for Class 10 Maths Chapter 7, NCERT Solutions for Class 10 Maths Chapter 8, NCERT Solutions for Class 10 Maths Chapter 9, NCERT Solutions for Class 10 Maths Chapter 10, NCERT Solutions for Class 10 Maths Chapter 11, NCERT Solutions for Class 10 Maths Chapter 12, NCERT Solutions for Class 10 Maths Chapter 13, NCERT Solutions for Class 10 Maths Chapter 14, NCERT Solutions for Class 10 Maths Chapter 15, NCERT Solutions for Class 10 Science Chapter 1, NCERT Solutions for Class 10 Science Chapter 2, NCERT Solutions for Class 10 Science Chapter 3, NCERT Solutions for Class 10 Science Chapter 4, NCERT Solutions for Class 10 Science Chapter 5, NCERT Solutions for Class 10 Science Chapter 6, NCERT Solutions for Class 10 Science Chapter 7, NCERT Solutions for Class 10 Science Chapter 8, NCERT Solutions for Class 10 Science Chapter 9, NCERT Solutions for Class 10 Science Chapter 10, NCERT Solutions for Class 10 Science Chapter 11, NCERT Solutions for Class 10 Science Chapter 12, NCERT Solutions for Class 10 Science Chapter 13, NCERT Solutions for Class 10 Science Chapter 14, NCERT Solutions for Class 10 Science Chapter 15, NCERT Solutions for Class 10 Science Chapter 16, CBSE Previous Year Question Papers Class 12 Maths, CBSE Previous Year Question Papers Class 10 Maths, ICSE Previous Year Question Papers Class 10, ISC Previous Year Question Papers Class 12 Maths. Fundamental Theorem of Arithmetic. We've been helping billions of people around the world continue to learn, adapt, grow, and thrive for over a decade. The product of a given number and its reciprocal will always give the value 1. All negative exponents can be expressed as their positive reciprocal. In Mathematics, reciprocal means an expression which when multiplied by another expression, gives unity (1) as a result. Some tables do have a column devoted to reciprocals, but not typically reciprocals of decimal numbers. Hence, it returns its original value, if we take the reciprocal of an inverted number. Finding the Reciprocal of a Fraction or Whole Number, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/3\/3e\/Find-the-Reciprocal-Step-1-Version-3.jpg\/v4-460px-Find-the-Reciprocal-Step-1-Version-3.jpg","bigUrl":"\/images\/thumb\/3\/3e\/Find-the-Reciprocal-Step-1-Version-3.jpg\/aid1290466-v4-728px-Find-the-Reciprocal-Step-1-Version-3.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"
License: Creative Commons<\/a> License: Creative Commons<\/a> License: Creative Commons<\/a> License: Creative Commons<\/a> License: Creative Commons<\/a>
\n<\/p>
\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/5\/5d\/Find-the-Reciprocal-Step-2-Version-3.jpg\/v4-460px-Find-the-Reciprocal-Step-2-Version-3.jpg","bigUrl":"\/images\/thumb\/5\/5d\/Find-the-Reciprocal-Step-2-Version-3.jpg\/aid1290466-v4-728px-Find-the-Reciprocal-Step-2-Version-3.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"
\n<\/p>
\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/4\/42\/Find-the-Reciprocal-Step-3-Version-3.jpg\/v4-460px-Find-the-Reciprocal-Step-3-Version-3.jpg","bigUrl":"\/images\/thumb\/4\/42\/Find-the-Reciprocal-Step-3-Version-3.jpg\/aid1290466-v4-728px-Find-the-Reciprocal-Step-3-Version-3.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"
\n<\/p>
\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/5\/55\/Find-the-Reciprocal-Step-4-Version-2.jpg\/v4-460px-Find-the-Reciprocal-Step-4-Version-2.jpg","bigUrl":"\/images\/thumb\/5\/55\/Find-the-Reciprocal-Step-4-Version-2.jpg\/aid1290466-v4-728px-Find-the-Reciprocal-Step-4-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"
\n<\/p>
\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/7\/7e\/Find-the-Reciprocal-Step-5-Version-2.jpg\/v4-460px-Find-the-Reciprocal-Step-5-Version-2.jpg","bigUrl":"\/images\/thumb\/7\/7e\/Find-the-Reciprocal-Step-5-Version-2.jpg\/aid1290466-v4-728px-Find-the-Reciprocal-Step-5-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"
\n<\/p>
\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/7\/72\/Find-the-Reciprocal-Step-6-Version-2.jpg\/v4-460px-Find-the-Reciprocal-Step-6-Version-2.jpg","bigUrl":"\/images\/thumb\/7\/72\/Find-the-Reciprocal-Step-6-Version-2.jpg\/aid1290466-v4-728px-Find-the-Reciprocal-Step-6-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"