2/3 - 7/15 as a fraction

Learn how to find what is 2/3 minus 7/15 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 - 7/15 as a fraction and decimal.

Summary: 2/3 minus 7/15 = 1/5
Since both fractions have unequal denominators, 2/3 minus 7/15 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/3 and fraction 7/15 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 (2/3 x 15/15) - (7/15 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 2/3 is 10/15 and for 7/15 is 7/15. By simplifying this fraction subtraction 10/15 - 7/15, it becomes 3/15.

Pie Chart Representation: 2/3 - 7/15 = 1/5

CALCULATION: 2/3 - 7/15 as a fraction
2/3 - 7/15 = (?)
2/3 - 7/15 = [(2 x 15) - (7 x 3)]/(3 x 15)
= (30 - 21)/45
= 9/45
= (9 x 1)/(9 x 5)
= 1/5
2/3 - 7/15 = 1/5
2/3 minus 7/15 as a fraction is 1/5.

where
2/3 is a proper fraction as a minuend,
7/15 is a proper fraction as a subtrahend,
1/5 is the difference between 2/3 and 7/15.

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2/3 minus 7/15 as a decimal
2/3 - 7/15 = 1/5
1/5 = 0.2
(2/3) - (7/15) as a decimal is 0.2

where
0.2 is the difference between 2/3 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 2/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/3 minus 7/15.
1. LCM method
2. Cross multiplication method.

(2/3) - (7/15) using LCM Method:
What is 2/3 minus 7/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 7/15

What to be found?
(2/3) - (7/15) = ?
Find what's the difference between 2/3 and 7/15.

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

step 4 Write the fractions 2/3 and 7/15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/3 - 7/15
= [(2 x 15)/(3 x 15)] - [(7 x 15)/(15 x 15)]

step 5 Simplify the expression to have common denominator:
= 10/15 - 7/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (10/1 - 7/1)
= 1/15 x (10 - 7)

step 7Simplify the above expression further:
= 1/15 x 3
= 3/15
= 1/5
2/3 - 7/15 = 1/5

Hence,
2/3 minus 7/15 as a fraction is 1/5.

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2/3 - 7/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 7/15

What to be found?
(2/3)-(7/15) = ?
Find what's the difference between 2/3 and 7/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 15), find the product of numerator of Fraction B and denominator of Fraction A (7 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:
= (2 x 15) - (7 x 3)/(3 x 15)

step 3 Simplify and rewrite the fraction:
= (30 - 21)/45
= 9/45
= 1/5
2/3 - 7/15 = 1/5

Hence,
2/3 minus 7/15 in fraction is 1/5