What is 16/7 - 16/11 in fraction?
16/7 - 16/11 equals to 64/77 in fraction form.
Learn how to find what is 16/7 minus 16/11 in fraction form just in a few minutes. We have covered the easiest method to write 16/7 - 16/11 as a fraction and decimal.
Summary: 16/7 minus 16/11 = 64/77
Since both fractions have unequal denominators, 16/7 minus 16/11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16/7 and fraction 16/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 11. 77 is the LCM of 7 and 11. Multiplying the LCM 77 with the numerators and denominators of both fractions (16/7 x 77/77) - (16/11 x 77/77), and simplify further in order to have the common denominator. So the equivalent fraction for 16/7 is 176/77 and for 16/11 is 112/77. By simplifying this fraction subtraction 176/77 - 112/77, it becomes 64/77.
Pie Chart Representation: 16/7 - 16/11 = 64/77
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 16/11 from 16/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 16/7 minus 16/11.
1. LCM method
2. Cross multiplication method.
(16/7) - (16/11) using LCM Method:
What is 16/7 minus 16/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/7
Fraction B: 16/11
What to be found?
(16/7) - (16/11) = ?
Find what's the difference between 16/7 and 16/11.
step 2 Compare the denominators of fractions 16/7 and 16/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16/7 and 16/11 are not equal, it is said to be unlike fractions subtraction.
step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 16/7 and 16/11:
The LCM of 7 and 11 is 77.
step 4 Write the fractions 16/7 and 16/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/7 - 16/11
= [(16 x 77)/(7 x 77)] - [(16 x 77)/(11 x 77)]
step 5 Simplify the expression to have common denominator:
= 176/77 - 112/77
step 6 Take the common values out and rewrite the above expression like the below:
= 1/77 x (176/1 - 112/1)
= 1/77 x (176 - 112)
step 7Simplify the above expression further:
= 1/77 x 64
= 64/77
16/7 - 16/11 = 64/77
Hence,
16/7 minus 16/11 as a fraction is 64/77.
16/7 - 16/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/7
Fraction B: 16/11
What to be found?
(16/7)-(16/11) = ?
Find what's the difference between 16/7 and 16/11.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 11), find the product of numerator of Fraction B and denominator of Fraction A (16 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 11) and rewrite the equation as like the below:
= (16 x 11) - (16 x 7)/(7 x 11)
step 3 Simplify and rewrite the fraction:
= (176 - 112)/77
16/7 - 16/11 = 64/77
Hence,
16/7 minus 16/11 in fraction is 64/77