7/4 - 16/3 as a fraction

Learn how to find what is 7/4 minus 16/3 in fraction form just in a few minutes. We have covered the easiest method to write 7/4 - 16/3 as a fraction and decimal.

Summary: 7/4 minus 16/3 = -43/12
Since both fractions have unequal denominators, 7/4 minus 16/3 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/4 and fraction 16/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 3. 12 is the LCM of 4 and 3. Multiplying the LCM 12 with the numerators and denominators of both fractions (7/4 x 12/12) - (16/3 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 7/4 is 21/12 and for 16/3 is 64/12. By simplifying this fraction subtraction 21/12 - 64/12, it becomes -43/12.

CALCULATION: 7/4 - 16/3 as a fraction
7/4 - 16/3 = (?)
7/4 - 16/3 = [(7 x 3) - (16 x 4)]/(4 x 3)
= (21 - 64)/12
= -43/12
7/4 - 16/3 = -43/12
7/4 minus 16/3 as a fraction is -43/12.

where
7/4 is a improper fraction as a minuend,
16/3 is a improper fraction as a subtrahend,
-43/12 is the difference between 7/4 and 16/3.

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7/4 minus 16/3 as a decimal
7/4 - 16/3 = -43/12
-43/12 = -3.5833
(7/4) - (16/3) as a decimal is -3.5833

where
-3.5833 is the difference between 7/4 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 7/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/4 minus 16/3.
1. LCM method
2. Cross multiplication method.

(7/4) - (16/3) using LCM Method:
What is 7/4 minus 16/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/4
Fraction B: 16/3

What to be found?
(7/4) - (16/3) = ?
Find what's the difference between 7/4 and 16/3.

step 2 Compare the denominators of fractions 7/4 and 16/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/4 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 7/4 and 16/3:
The LCM of 4 and 3 is 12.

step 4 Write the fractions 7/4 and 16/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/4 - 16/3
= [(7 x 12)/(4 x 12)] - [(16 x 12)/(3 x 12)]

step 5 Simplify the expression to have common denominator:
= 21/12 - 64/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (21/1 - 64/1)
= 1/12 x (21 - 64)

step 7Simplify the above expression further:
= 1/12 x -43
= -43/12
7/4 - 16/3 = -43/12

Hence,
7/4 minus 16/3 as a fraction is -43/12.

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7/4 - 16/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/4
Fraction B: 16/3

What to be found?
(7/4)-(16/3) = ?
Find what's the difference between 7/4 and 16/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 3), find the product of numerator of Fraction B and denominator of Fraction A (16 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 3) and rewrite the equation as like the below:
= (7 x 3) - (16 x 4)/(4 x 3)

step 3 Simplify and rewrite the fraction:
= (21 - 64)/12
7/4 - 16/3 = -43/12

Hence,
7/4 minus 16/3 in fraction is -43/12