What is 4/5 - 7/16 in fraction?
4/5 - 7/16 equals to 29/80 in fraction form.
Learn how to find what is 4/5 minus 7/16 in fraction form just in a few minutes. We have covered the easiest method to write 4/5 - 7/16 as a fraction and decimal.
Summary: 4/5 minus 7/16 = 29/80
Since both fractions have unequal denominators, 4/5 minus 7/16 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/5 and fraction 7/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 16. 80 is the LCM of 5 and 16. Multiplying the LCM 80 with the numerators and denominators of both fractions (4/5 x 80/80) - (7/16 x 80/80), and simplify further in order to have the common denominator. So the equivalent fraction for 4/5 is 64/80 and for 7/16 is 35/80. By simplifying this fraction subtraction 64/80 - 35/80, it becomes 29/80.
Pie Chart Representation: 4/5 - 7/16 = 29/80
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/16 from 4/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 4/5 minus 7/16.
1. LCM method
2. Cross multiplication method.
(4/5) - (7/16) using LCM Method:
What is 4/5 minus 7/16 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/5
Fraction B: 7/16
What to be found?
(4/5) - (7/16) = ?
Find what's the difference between 4/5 and 7/16.
step 2 Compare the denominators of fractions 4/5 and 7/16 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/5 and 7/16 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 4/5 and 7/16:
The LCM of 5 and 16 is 80.
step 4 Write the fractions 4/5 and 7/16 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/5 - 7/16
= [(4 x 80)/(5 x 80)] - [(7 x 80)/(16 x 80)]
step 5 Simplify the expression to have common denominator:
= 64/80 - 35/80
step 6 Take the common values out and rewrite the above expression like the below:
= 1/80 x (64/1 - 35/1)
= 1/80 x (64 - 35)
step 7Simplify the above expression further:
= 1/80 x 29
= 29/80
4/5 - 7/16 = 29/80
Hence,
4/5 minus 7/16 as a fraction is 29/80.
4/5 - 7/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/5
Fraction B: 7/16
What to be found?
(4/5)-(7/16) = ?
Find what's the difference between 4/5 and 7/16.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 16), find the product of numerator of Fraction B and denominator of Fraction A (7 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 16) and rewrite the equation as like the below:
= (4 x 16) - (7 x 5)/(5 x 16)
step 3 Simplify and rewrite the fraction:
= (64 - 35)/80
4/5 - 7/16 = 29/80
Hence,
4/5 minus 7/16 in fraction is 29/80