15/7 - 6 as a fraction

Learn how to find what is 15/7 minus 6 in fraction form just in a few minutes. We have covered the easiest method to write 15/7 - 6 as a fraction and decimal.

Summary: 15/7 minus 6 = -27/7
Since both fractions have unequal denominators, 15/7 minus 6 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 15/7 and fraction 6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 1. 7 is the LCM of 7 and 1. Multiplying the LCM 7 with the numerators and denominators of both fractions (15/7 x 7/7) - (6 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 15/7 is 15/7 and for 6 is 42/7. By simplifying this fraction subtraction 15/7 - 42/7, it becomes -27/7.

CALCULATION: 15/7 - 6 as a fraction
15/7 - 6 = (?)
15/7 - 6/1 = [(15 x 1) - (6 x 7)]/(7 x 1)
= (15 - 42)/7
= -27/7
15/7 - 6 = -27/7
15/7 minus 6 as a fraction is -27/7.

where
15/7 is a improper fraction as a minuend,
6 is a whole number as a subtrahend,
-27/7 is the difference between 15/7 and 6.

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15/7 minus 6 as a decimal
15/7 - 6 = -27/7
-27/7 = -3.8571
(15/7) - (6) as a decimal is -3.8571

where
-3.8571 is the difference between 15/7 and 6.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 6 from 15/7. use any one of the following methods to find the equivalent fraction for 15/7 minus 6.
1. LCM method
2. Cross multiplication method.

(15/7) - (6) using LCM Method:
What is 15/7 minus 6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/7
Fraction B: 6/1

What to be found?
(15/7) - (6) = ?
Find what's the difference between 15/7 and 6.

step 2 Compare the denominators of fractions 15/7 and 6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 15/7 and 6 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 15/7 and 6:
The LCM of 7 and 1 is 7.

step 4 Write the fractions 15/7 and 6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/7 - 6
= [(15 x 7)/(7 x 7)] - [(6 x 7)/(1 x 7)]

step 5 Simplify the expression to have common denominator:
= 15/7 - 42/7

step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (15/1 - 42/1)
= 1/7 x (15 - 42)

step 7Simplify the above expression further:
= 1/7 x -27
= -27/7
15/7 - 6 = -27/7

Hence,
15/7 minus 6 as a fraction is -27/7.

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15/7 - 6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/7
Fraction B: 6/1

What to be found?
(15/7)-(6) = ?
Find what's the difference between 15/7 and 6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 1), find the product of numerator of Fraction B and denominator of Fraction A (6 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 1) and rewrite the equation as like the below:
= (15 x 1) - (6 x 7)/(7 x 1)

step 3 Simplify and rewrite the fraction:
= (15 - 42)/7
15/7 - 6 = -27/7

Hence,
15/7 minus 6 in fraction is -27/7