16/3 - 5/7 as a fraction

Learn how to find what is 16/3 minus 5/7 in fraction form just in a few minutes. We have covered the easiest method to write 16/3 - 5/7 as a fraction and decimal.

Summary: 16/3 minus 5/7 = 97/21
Since both fractions have unequal denominators, 16/3 minus 5/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16/3 and fraction 5/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 7. 21 is the LCM of 3 and 7. Multiplying the LCM 21 with the numerators and denominators of both fractions (16/3 x 21/21) - (5/7 x 21/21), and simplify further in order to have the common denominator. So the equivalent fraction for 16/3 is 112/21 and for 5/7 is 15/21. By simplifying this fraction subtraction 112/21 - 15/21, it becomes 97/21.

CALCULATION: 16/3 - 5/7 as a fraction
16/3 - 5/7 = (?)
16/3 - 5/7 = [(16 x 7) - (5 x 3)]/(3 x 7)
= (112 - 15)/21
= 97/21
16/3 - 5/7 = 97/21
16/3 minus 5/7 as a fraction is 97/21.

where
16/3 is a improper fraction as a minuend,
5/7 is a proper fraction as a subtrahend,
97/21 is the difference between 16/3 and 5/7.

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16/3 minus 5/7 as a decimal
16/3 - 5/7 = 97/21
97/21 = 4.619
(16/3) - (5/7) as a decimal is 4.619

where
4.619 is the difference between 16/3 and 5/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/7 from 16/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 16/3 minus 5/7.
1. LCM method
2. Cross multiplication method.

(16/3) - (5/7) using LCM Method:
What is 16/3 minus 5/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/3
Fraction B: 5/7

What to be found?
(16/3) - (5/7) = ?
Find what's the difference between 16/3 and 5/7.

step 2 Compare the denominators of fractions 16/3 and 5/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16/3 and 5/7 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 16/3 and 5/7:
The LCM of 3 and 7 is 21.

step 4 Write the fractions 16/3 and 5/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/3 - 5/7
= [(16 x 21)/(3 x 21)] - [(5 x 21)/(7 x 21)]

step 5 Simplify the expression to have common denominator:
= 112/21 - 15/21

step 6 Take the common values out and rewrite the above expression like the below:
= 1/21 x (112/1 - 15/1)
= 1/21 x (112 - 15)

step 7Simplify the above expression further:
= 1/21 x 97
= 97/21
16/3 - 5/7 = 97/21

Hence,
16/3 minus 5/7 as a fraction is 97/21.

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16/3 - 5/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/3
Fraction B: 5/7

What to be found?
(16/3)-(5/7) = ?
Find what's the difference between 16/3 and 5/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 7), find the product of numerator of Fraction B and denominator of Fraction A (5 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 7) and rewrite the equation as like the below:
= (16 x 7) - (5 x 3)/(3 x 7)

step 3 Simplify and rewrite the fraction:
= (112 - 15)/21
16/3 - 5/7 = 97/21

Hence,
16/3 minus 5/7 in fraction is 97/21