What is 16/11 - 7/20 in fraction?
16/11 - 7/20 equals to 243/220 in fraction form.
Learn how to find what is 16/11 minus 7/20 in fraction form just in a few minutes. We have covered the easiest method to write 16/11 - 7/20 as a fraction and decimal.
Summary: 16/11 minus 7/20 = 243/220
Since both fractions have unequal denominators, 16/11 minus 7/20 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16/11 and fraction 7/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 11 and 20. 220 is the LCM of 11 and 20. Multiplying the LCM 220 with the numerators and denominators of both fractions (16/11 x 220/220) - (7/20 x 220/220), and simplify further in order to have the common denominator. So the equivalent fraction for 16/11 is 320/220 and for 7/20 is 77/220. By simplifying this fraction subtraction 320/220 - 77/220, it becomes 243/220.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/20 from 16/11. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 16/11 minus 7/20.
1. LCM method
2. Cross multiplication method.
(16/11) - (7/20) using LCM Method:
What is 16/11 minus 7/20 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/11
Fraction B: 7/20
What to be found?
(16/11) - (7/20) = ?
Find what's the difference between 16/11 and 7/20.
step 2 Compare the denominators of fractions 16/11 and 7/20 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16/11 and 7/20 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 16/11 and 7/20:
The LCM of 11 and 20 is 220.
step 4 Write the fractions 16/11 and 7/20 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/11 - 7/20
= [(16 x 220)/(11 x 220)] - [(7 x 220)/(20 x 220)]
step 5 Simplify the expression to have common denominator:
= 320/220 - 77/220
step 6 Take the common values out and rewrite the above expression like the below:
= 1/220 x (320/1 - 77/1)
= 1/220 x (320 - 77)
step 7Simplify the above expression further:
= 1/220 x 243
= 243/220
16/11 - 7/20 = 243/220
Hence,
16/11 minus 7/20 as a fraction is 243/220.
16/11 - 7/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/11
Fraction B: 7/20
What to be found?
(16/11)-(7/20) = ?
Find what's the difference between 16/11 and 7/20.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 20), find the product of numerator of Fraction B and denominator of Fraction A (7 x 11), and find the product of both denominators of Fraction A and Fraction B (11 x 20) and rewrite the equation as like the below:
= (16 x 20) - (7 x 11)/(11 x 20)
step 3 Simplify and rewrite the fraction:
= (320 - 77)/220
16/11 - 7/20 = 243/220
Hence,
16/11 minus 7/20 in fraction is 243/220