15/4 - 2/3 as a fraction

Learn how to find what is 15/4 minus 2/3 in fraction form just in a few minutes. We have covered the easiest method to write 15/4 - 2/3 as a fraction and decimal.

Summary: 15/4 minus 2/3 = 37/12
Since both fractions have unequal denominators, 15/4 minus 2/3 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 15/4 and fraction 2/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 3. 12 is the LCM of 4 and 3. Multiplying the LCM 12 with the numerators and denominators of both fractions (15/4 x 12/12) - (2/3 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 15/4 is 45/12 and for 2/3 is 8/12. By simplifying this fraction subtraction 45/12 - 8/12, it becomes 37/12.

CALCULATION: 15/4 - 2/3 as a fraction
15/4 - 2/3 = (?)
15/4 - 2/3 = [(15 x 3) - (2 x 4)]/(4 x 3)
= (45 - 8)/12
= 37/12
15/4 - 2/3 = 37/12
15/4 minus 2/3 as a fraction is 37/12.

where
15/4 is a improper fraction as a minuend,
2/3 is a proper fraction as a subtrahend,
37/12 is the difference between 15/4 and 2/3.

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15/4 minus 2/3 as a decimal
15/4 - 2/3 = 37/12
37/12 = 3.0833
(15/4) - (2/3) as a decimal is 3.0833

where
3.0833 is the difference between 15/4 and 2/3.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/3 from 15/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 15/4 minus 2/3.
1. LCM method
2. Cross multiplication method.

(15/4) - (2/3) using LCM Method:
What is 15/4 minus 2/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 2/3

What to be found?
(15/4) - (2/3) = ?
Find what's the difference between 15/4 and 2/3.

step 2 Compare the denominators of fractions 15/4 and 2/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 15/4 and 2/3 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 15/4 and 2/3:
The LCM of 4 and 3 is 12.

step 4 Write the fractions 15/4 and 2/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/4 - 2/3
= [(15 x 12)/(4 x 12)] - [(2 x 12)/(3 x 12)]

step 5 Simplify the expression to have common denominator:
= 45/12 - 8/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (45/1 - 8/1)
= 1/12 x (45 - 8)

step 7Simplify the above expression further:
= 1/12 x 37
= 37/12
15/4 - 2/3 = 37/12

Hence,
15/4 minus 2/3 as a fraction is 37/12.

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15/4 - 2/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 2/3

What to be found?
(15/4)-(2/3) = ?
Find what's the difference between 15/4 and 2/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 3), find the product of numerator of Fraction B and denominator of Fraction A (2 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 3) and rewrite the equation as like the below:
= (15 x 3) - (2 x 4)/(4 x 3)

step 3 Simplify and rewrite the fraction:
= (45 - 8)/12
15/4 - 2/3 = 37/12

Hence,
15/4 minus 2/3 in fraction is 37/12