2/3 - 15/4 as a fraction

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

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

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

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

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

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

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 15/4 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 15/4.
1. LCM method
2. Cross multiplication method.

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

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

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

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

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

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

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

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

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

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

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

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

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

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