8/3 - 7/16 as a fraction

Learn how to find what is 8/3 minus 7/16 in fraction form just in a few minutes. We have covered the easiest method to write 8/3 - 7/16 as a fraction and decimal.

Summary: 8/3 minus 7/16 = 107/48
Since both fractions have unequal denominators, 8/3 minus 7/16 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 8/3 and fraction 7/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 16. 48 is the LCM of 3 and 16. Multiplying the LCM 48 with the numerators and denominators of both fractions (8/3 x 48/48) - (7/16 x 48/48), and simplify further in order to have the common denominator. So the equivalent fraction for 8/3 is 128/48 and for 7/16 is 21/48. By simplifying this fraction subtraction 128/48 - 21/48, it becomes 107/48.

CALCULATION: 8/3 - 7/16 as a fraction
8/3 - 7/16 = (?)
8/3 - 7/16 = [(8 x 16) - (7 x 3)]/(3 x 16)
= (128 - 21)/48
= 107/48
8/3 - 7/16 = 107/48
8/3 minus 7/16 as a fraction is 107/48.

where
8/3 is a improper fraction as a minuend,
7/16 is a proper fraction as a subtrahend,
107/48 is the difference between 8/3 and 7/16.

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8/3 minus 7/16 as a decimal
8/3 - 7/16 = 107/48
107/48 = 2.2292
(8/3) - (7/16) as a decimal is 2.2292

where
2.2292 is the difference between 8/3 and 7/16.

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 8/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 8/3 minus 7/16.
1. LCM method
2. Cross multiplication method.

(8/3) - (7/16) using LCM Method:
What is 8/3 minus 7/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/3
Fraction B: 7/16

What to be found?
(8/3) - (7/16) = ?
Find what's the difference between 8/3 and 7/16.

step 2 Compare the denominators of fractions 8/3 and 7/16 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8/3 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 8/3 and 7/16:
The LCM of 3 and 16 is 48.

step 4 Write the fractions 8/3 and 7/16 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/3 - 7/16
= [(8 x 48)/(3 x 48)] - [(7 x 48)/(16 x 48)]

step 5 Simplify the expression to have common denominator:
= 128/48 - 21/48

step 6 Take the common values out and rewrite the above expression like the below:
= 1/48 x (128/1 - 21/1)
= 1/48 x (128 - 21)

step 7Simplify the above expression further:
= 1/48 x 107
= 107/48
8/3 - 7/16 = 107/48

Hence,
8/3 minus 7/16 as a fraction is 107/48.

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8/3 - 7/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/3
Fraction B: 7/16

What to be found?
(8/3)-(7/16) = ?
Find what's the difference between 8/3 and 7/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 16), find the product of numerator of Fraction B and denominator of Fraction A (7 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 16) and rewrite the equation as like the below:
= (8 x 16) - (7 x 3)/(3 x 16)

step 3 Simplify and rewrite the fraction:
= (128 - 21)/48
8/3 - 7/16 = 107/48

Hence,
8/3 minus 7/16 in fraction is 107/48