3/5 - 15/7 as a fraction

Learn how to find what is 3/5 minus 15/7 in fraction form just in a few minutes. We have covered the easiest method to write 3/5 - 15/7 as a fraction and decimal.

Summary: 3/5 minus 15/7 = -54/35
Since both fractions have unequal denominators, 3/5 minus 15/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/5 and fraction 15/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 7. 35 is the LCM of 5 and 7. Multiplying the LCM 35 with the numerators and denominators of both fractions (3/5 x 35/35) - (15/7 x 35/35), and simplify further in order to have the common denominator. So the equivalent fraction for 3/5 is 21/35 and for 15/7 is 75/35. By simplifying this fraction subtraction 21/35 - 75/35, it becomes -54/35.

CALCULATION: 3/5 - 15/7 as a fraction
3/5 - 15/7 = (?)
3/5 - 15/7 = [(3 x 7) - (15 x 5)]/(5 x 7)
= (21 - 75)/35
= -54/35
3/5 - 15/7 = -54/35
3/5 minus 15/7 as a fraction is -54/35.

where
3/5 is a proper fraction as a minuend,
15/7 is a improper fraction as a subtrahend,
-54/35 is the difference between 3/5 and 15/7.

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3/5 minus 15/7 as a decimal
3/5 - 15/7 = -54/35
-54/35 = -1.5429
(3/5) - (15/7) as a decimal is -1.5429

where
-1.5429 is the difference between 3/5 and 15/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 15/7 from 3/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/5 minus 15/7.
1. LCM method
2. Cross multiplication method.

(3/5) - (15/7) using LCM Method:
What is 3/5 minus 15/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 15/7

What to be found?
(3/5) - (15/7) = ?
Find what's the difference between 3/5 and 15/7.

step 2 Compare the denominators of fractions 3/5 and 15/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/5 and 15/7 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 3/5 and 15/7:
The LCM of 5 and 7 is 35.

step 4 Write the fractions 3/5 and 15/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/5 - 15/7
= [(3 x 35)/(5 x 35)] - [(15 x 35)/(7 x 35)]

step 5 Simplify the expression to have common denominator:
= 21/35 - 75/35

step 6 Take the common values out and rewrite the above expression like the below:
= 1/35 x (21/1 - 75/1)
= 1/35 x (21 - 75)

step 7Simplify the above expression further:
= 1/35 x -54
= -54/35
3/5 - 15/7 = -54/35

Hence,
3/5 minus 15/7 as a fraction is -54/35.

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3/5 - 15/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 15/7

What to be found?
(3/5)-(15/7) = ?
Find what's the difference between 3/5 and 15/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 7), find the product of numerator of Fraction B and denominator of Fraction A (15 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 7) and rewrite the equation as like the below:
= (3 x 7) - (15 x 5)/(5 x 7)

step 3 Simplify and rewrite the fraction:
= (21 - 75)/35
3/5 - 15/7 = -54/35

Hence,
3/5 minus 15/7 in fraction is -54/35