7/6 - 15/2 as a fraction

Learn how to find what is 7/6 minus 15/2 in fraction form just in a few minutes. We have covered the easiest method to write 7/6 - 15/2 as a fraction and decimal.

Summary: 7/6 minus 15/2 = -19/3
Since both fractions have unequal denominators, 7/6 minus 15/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/6 and fraction 15/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 2. 6 is the LCM of 6 and 2. Multiplying the LCM 6 with the numerators and denominators of both fractions (7/6 x 6/6) - (15/2 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 7/6 is 7/6 and for 15/2 is 45/6. By simplifying this fraction subtraction 7/6 - 45/6, it becomes -38/6.

CALCULATION: 7/6 - 15/2 as a fraction
7/6 - 15/2 = (?)
7/6 - 15/2 = [(7 x 2) - (15 x 6)]/(6 x 2)
= (14 - 90)/12
= -76/12
= (4 x -19)/(4 x 3)
= -19/3
7/6 - 15/2 = -19/3
7/6 minus 15/2 as a fraction is -19/3.

where
7/6 is a improper fraction as a minuend,
15/2 is a improper fraction as a subtrahend,
-19/3 is the difference between 7/6 and 15/2.

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7/6 minus 15/2 as a decimal
7/6 - 15/2 = -19/3
-19/3 = -6.3333
(7/6) - (15/2) as a decimal is -6.3333

where
-6.3333 is the difference between 7/6 and 15/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 15/2 from 7/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/6 minus 15/2.
1. LCM method
2. Cross multiplication method.

(7/6) - (15/2) using LCM Method:
What is 7/6 minus 15/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 15/2

What to be found?
(7/6) - (15/2) = ?
Find what's the difference between 7/6 and 15/2.

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

step 4 Write the fractions 7/6 and 15/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/6 - 15/2
= [(7 x 6)/(6 x 6)] - [(15 x 6)/(2 x 6)]

step 5 Simplify the expression to have common denominator:
= 7/6 - 45/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (7/1 - 45/1)
= 1/6 x (7 - 45)

step 7Simplify the above expression further:
= 1/6 x -38
= -38/6
= -19/3
7/6 - 15/2 = -19/3

Hence,
7/6 minus 15/2 as a fraction is -19/3.

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7/6 - 15/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 15/2

What to be found?
(7/6)-(15/2) = ?
Find what's the difference between 7/6 and 15/2.

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

step 3 Simplify and rewrite the fraction:
= (14 - 90)/12
= -76/12
= -19/3
7/6 - 15/2 = -19/3

Hence,
7/6 minus 15/2 in fraction is -19/3