10/3 - 8/15 as a fraction

Learn how to find what is 10/3 minus 8/15 in fraction form just in a few minutes. We have covered the easiest method to write 10/3 - 8/15 as a fraction and decimal.

Summary: 10/3 minus 8/15 = 14/5
Since both fractions have unequal denominators, 10/3 minus 8/15 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 10/3 and fraction 8/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 15. 15 is the LCM of 3 and 15. Multiplying the LCM 15 with the numerators and denominators of both fractions (10/3 x 15/15) - (8/15 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 10/3 is 50/15 and for 8/15 is 8/15. By simplifying this fraction subtraction 50/15 - 8/15, it becomes 42/15.

CALCULATION: 10/3 - 8/15 as a fraction
10/3 - 8/15 = (?)
10/3 - 8/15 = [(10 x 15) - (8 x 3)]/(3 x 15)
= (150 - 24)/45
= 126/45
= (9 x 14)/(9 x 5)
= 14/5
10/3 - 8/15 = 14/5
10/3 minus 8/15 as a fraction is 14/5.

where
10/3 is a improper fraction as a minuend,
8/15 is a proper fraction as a subtrahend,
14/5 is the difference between 10/3 and 8/15.

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10/3 minus 8/15 as a decimal
10/3 - 8/15 = 14/5
14/5 = 2.8
(10/3) - (8/15) as a decimal is 2.8

where
2.8 is the difference between 10/3 and 8/15.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 8/15 from 10/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 10/3 minus 8/15.
1. LCM method
2. Cross multiplication method.

(10/3) - (8/15) using LCM Method:
What is 10/3 minus 8/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/3
Fraction B: 8/15

What to be found?
(10/3) - (8/15) = ?
Find what's the difference between 10/3 and 8/15.

step 2 Compare the denominators of fractions 10/3 and 8/15 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 10/3 and 8/15 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 10/3 and 8/15:
The LCM of 3 and 15 is 15.

step 4 Write the fractions 10/3 and 8/15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/3 - 8/15
= [(10 x 15)/(3 x 15)] - [(8 x 15)/(15 x 15)]

step 5 Simplify the expression to have common denominator:
= 50/15 - 8/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (50/1 - 8/1)
= 1/15 x (50 - 8)

step 7Simplify the above expression further:
= 1/15 x 42
= 42/15
= 14/5
10/3 - 8/15 = 14/5

Hence,
10/3 minus 8/15 as a fraction is 14/5.

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10/3 - 8/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/3
Fraction B: 8/15

What to be found?
(10/3)-(8/15) = ?
Find what's the difference between 10/3 and 8/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 15), find the product of numerator of Fraction B and denominator of Fraction A (8 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 15) and rewrite the equation as like the below:
= (10 x 15) - (8 x 3)/(3 x 15)

step 3 Simplify and rewrite the fraction:
= (150 - 24)/45
= 126/45
= 14/5
10/3 - 8/15 = 14/5

Hence,
10/3 minus 8/15 in fraction is 14/5