5/2 - 7/15 as a fraction

Learn how to find what is 5/2 minus 7/15 in fraction form just in a few minutes. We have covered the easiest method to write 5/2 - 7/15 as a fraction and decimal.

Summary: 5/2 minus 7/15 = 61/30
Since both fractions have unequal denominators, 5/2 minus 7/15 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/2 and fraction 7/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 15. 30 is the LCM of 2 and 15. Multiplying the LCM 30 with the numerators and denominators of both fractions (5/2 x 30/30) - (7/15 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 5/2 is 75/30 and for 7/15 is 14/30. By simplifying this fraction subtraction 75/30 - 14/30, it becomes 61/30.

CALCULATION: 5/2 - 7/15 as a fraction
5/2 - 7/15 = (?)
5/2 - 7/15 = [(5 x 15) - (7 x 2)]/(2 x 15)
= (75 - 14)/30
= 61/30
5/2 - 7/15 = 61/30
5/2 minus 7/15 as a fraction is 61/30.

where
5/2 is a improper fraction as a minuend,
7/15 is a proper fraction as a subtrahend,
61/30 is the difference between 5/2 and 7/15.

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5/2 minus 7/15 as a decimal
5/2 - 7/15 = 61/30
61/30 = 2.0333
(5/2) - (7/15) as a decimal is 2.0333

where
2.0333 is the difference between 5/2 and 7/15.

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

(5/2) - (7/15) using LCM Method:
What is 5/2 minus 7/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 7/15

What to be found?
(5/2) - (7/15) = ?
Find what's the difference between 5/2 and 7/15.

step 2 Compare the denominators of fractions 5/2 and 7/15 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/2 and 7/15 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 5/2 and 7/15:
The LCM of 2 and 15 is 30.

step 4 Write the fractions 5/2 and 7/15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/2 - 7/15
= [(5 x 30)/(2 x 30)] - [(7 x 30)/(15 x 30)]

step 5 Simplify the expression to have common denominator:
= 75/30 - 14/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (75/1 - 14/1)
= 1/30 x (75 - 14)

step 7Simplify the above expression further:
= 1/30 x 61
= 61/30
5/2 - 7/15 = 61/30

Hence,
5/2 minus 7/15 as a fraction is 61/30.

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5/2 - 7/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 7/15

What to be found?
(5/2)-(7/15) = ?
Find what's the difference between 5/2 and 7/15.

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

step 3 Simplify and rewrite the fraction:
= (75 - 14)/30
5/2 - 7/15 = 61/30

Hence,
5/2 minus 7/15 in fraction is 61/30