3/7 - 15/4 as a fraction

Learn how to find what is 3/7 minus 15/4 in fraction form just in a few minutes. We have covered the easiest method to write 3/7 - 15/4 as a fraction and decimal.

Summary: 3/7 minus 15/4 = -93/28
Since both fractions have unequal denominators, 3/7 minus 15/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/7 and fraction 15/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 4. 28 is the LCM of 7 and 4. Multiplying the LCM 28 with the numerators and denominators of both fractions (3/7 x 28/28) - (15/4 x 28/28), and simplify further in order to have the common denominator. So the equivalent fraction for 3/7 is 12/28 and for 15/4 is 105/28. By simplifying this fraction subtraction 12/28 - 105/28, it becomes -93/28.

CALCULATION: 3/7 - 15/4 as a fraction
3/7 - 15/4 = (?)
3/7 - 15/4 = [(3 x 4) - (15 x 7)]/(7 x 4)
= (12 - 105)/28
= -93/28
3/7 - 15/4 = -93/28
3/7 minus 15/4 as a fraction is -93/28.

where
3/7 is a proper fraction as a minuend,
15/4 is a improper fraction as a subtrahend,
-93/28 is the difference between 3/7 and 15/4.

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3/7 minus 15/4 as a decimal
3/7 - 15/4 = -93/28
-93/28 = -3.3214
(3/7) - (15/4) as a decimal is -3.3214

where
-3.3214 is the difference between 3/7 and 15/4.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 15/4 from 3/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/7 minus 15/4.
1. LCM method
2. Cross multiplication method.

(3/7) - (15/4) using LCM Method:
What is 3/7 minus 15/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 15/4

What to be found?
(3/7) - (15/4) = ?
Find what's the difference between 3/7 and 15/4.

step 2 Compare the denominators of fractions 3/7 and 15/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/7 and 15/4 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 3/7 and 15/4:
The LCM of 7 and 4 is 28.

step 4 Write the fractions 3/7 and 15/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/7 - 15/4
= [(3 x 28)/(7 x 28)] - [(15 x 28)/(4 x 28)]

step 5 Simplify the expression to have common denominator:
= 12/28 - 105/28

step 6 Take the common values out and rewrite the above expression like the below:
= 1/28 x (12/1 - 105/1)
= 1/28 x (12 - 105)

step 7Simplify the above expression further:
= 1/28 x -93
= -93/28
3/7 - 15/4 = -93/28

Hence,
3/7 minus 15/4 as a fraction is -93/28.

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3/7 - 15/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 15/4

What to be found?
(3/7)-(15/4) = ?
Find what's the difference between 3/7 and 15/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 4), find the product of numerator of Fraction B and denominator of Fraction A (15 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 4) and rewrite the equation as like the below:
= (3 x 4) - (15 x 7)/(7 x 4)

step 3 Simplify and rewrite the fraction:
= (12 - 105)/28
3/7 - 15/4 = -93/28

Hence,
3/7 minus 15/4 in fraction is -93/28