3/8 - 16/3 as a fraction

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

Summary: 3/8 minus 16/3 = -119/24
Since both fractions have unequal denominators, 3/8 minus 16/3 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/8 and fraction 16/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 3. 24 is the LCM of 8 and 3. Multiplying the LCM 24 with the numerators and denominators of both fractions (3/8 x 24/24) - (16/3 x 24/24), and simplify further in order to have the common denominator. So the equivalent fraction for 3/8 is 9/24 and for 16/3 is 128/24. By simplifying this fraction subtraction 9/24 - 128/24, it becomes -119/24.

CALCULATION: 3/8 - 16/3 as a fraction
3/8 - 16/3 = (?)
3/8 - 16/3 = [(3 x 3) - (16 x 8)]/(8 x 3)
= (9 - 128)/24
= -119/24
3/8 - 16/3 = -119/24
3/8 minus 16/3 as a fraction is -119/24.

where
3/8 is a proper fraction as a minuend,
16/3 is a improper fraction as a subtrahend,
-119/24 is the difference between 3/8 and 16/3.

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3/8 minus 16/3 as a decimal
3/8 - 16/3 = -119/24
-119/24 = -4.9583
(3/8) - (16/3) as a decimal is -4.9583

where
-4.9583 is the difference between 3/8 and 16/3.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 16/3 from 3/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/8 minus 16/3.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 3/8 and 16/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/8 and 16/3 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 3/8 and 16/3:
The LCM of 8 and 3 is 24.

step 4 Write the fractions 3/8 and 16/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/8 - 16/3
= [(3 x 24)/(8 x 24)] - [(16 x 24)/(3 x 24)]

step 5 Simplify the expression to have common denominator:
= 9/24 - 128/24

step 6 Take the common values out and rewrite the above expression like the below:
= 1/24 x (9/1 - 128/1)
= 1/24 x (9 - 128)

step 7Simplify the above expression further:
= 1/24 x -119
= -119/24
3/8 - 16/3 = -119/24

Hence,
3/8 minus 16/3 as a fraction is -119/24.

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

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

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

step 3 Simplify and rewrite the fraction:
= (9 - 128)/24
3/8 - 16/3 = -119/24

Hence,
3/8 minus 16/3 in fraction is -119/24