11/4 - 2/15 as a fraction

Learn how to find what is 11/4 minus 2/15 in fraction form just in a few minutes. We have covered the easiest method to write 11/4 - 2/15 as a fraction and decimal.

Summary: 11/4 minus 2/15 = 157/60
Since both fractions have unequal denominators, 11/4 minus 2/15 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/4 and fraction 2/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 15. 60 is the LCM of 4 and 15. Multiplying the LCM 60 with the numerators and denominators of both fractions (11/4 x 60/60) - (2/15 x 60/60), and simplify further in order to have the common denominator. So the equivalent fraction for 11/4 is 165/60 and for 2/15 is 8/60. By simplifying this fraction subtraction 165/60 - 8/60, it becomes 157/60.

CALCULATION: 11/4 - 2/15 as a fraction
11/4 - 2/15 = (?)
11/4 - 2/15 = [(11 x 15) - (2 x 4)]/(4 x 15)
= (165 - 8)/60
= 157/60
11/4 - 2/15 = 157/60
11/4 minus 2/15 as a fraction is 157/60.

where
11/4 is a improper fraction as a minuend,
2/15 is a proper fraction as a subtrahend,
157/60 is the difference between 11/4 and 2/15.

---

11/4 minus 2/15 as a decimal
11/4 - 2/15 = 157/60
157/60 = 2.6167
(11/4) - (2/15) as a decimal is 2.6167

where
2.6167 is the difference between 11/4 and 2/15.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/15 from 11/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 11/4 minus 2/15.
1. LCM method
2. Cross multiplication method.

(11/4) - (2/15) using LCM Method:
What is 11/4 minus 2/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/4
Fraction B: 2/15

What to be found?
(11/4) - (2/15) = ?
Find what's the difference between 11/4 and 2/15.

step 2 Compare the denominators of fractions 11/4 and 2/15 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/4 and 2/15 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 11/4 and 2/15:
The LCM of 4 and 15 is 60.

step 4 Write the fractions 11/4 and 2/15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/4 - 2/15
= [(11 x 60)/(4 x 60)] - [(2 x 60)/(15 x 60)]

step 5 Simplify the expression to have common denominator:
= 165/60 - 8/60

step 6 Take the common values out and rewrite the above expression like the below:
= 1/60 x (165/1 - 8/1)
= 1/60 x (165 - 8)

step 7Simplify the above expression further:
= 1/60 x 157
= 157/60
11/4 - 2/15 = 157/60

Hence,
11/4 minus 2/15 as a fraction is 157/60.

---

11/4 - 2/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/4
Fraction B: 2/15

What to be found?
(11/4)-(2/15) = ?
Find what's the difference between 11/4 and 2/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 15), 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 15) and rewrite the equation as like the below:
= (11 x 15) - (2 x 4)/(4 x 15)

step 3 Simplify and rewrite the fraction:
= (165 - 8)/60
11/4 - 2/15 = 157/60

Hence,
11/4 minus 2/15 in fraction is 157/60