7/4 - 2/11 as a fraction

Learn how to find what is 7/4 minus 2/11 in fraction form just in a few minutes. We have covered the easiest method to write 7/4 - 2/11 as a fraction and decimal.

Summary: 7/4 minus 2/11 = 69/44
Since both fractions have unequal denominators, 7/4 minus 2/11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/4 and fraction 2/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 11. 44 is the LCM of 4 and 11. Multiplying the LCM 44 with the numerators and denominators of both fractions (7/4 x 44/44) - (2/11 x 44/44), and simplify further in order to have the common denominator. So the equivalent fraction for 7/4 is 77/44 and for 2/11 is 8/44. By simplifying this fraction subtraction 77/44 - 8/44, it becomes 69/44.

CALCULATION: 7/4 - 2/11 as a fraction
7/4 - 2/11 = (?)
7/4 - 2/11 = [(7 x 11) - (2 x 4)]/(4 x 11)
= (77 - 8)/44
= 69/44
7/4 - 2/11 = 69/44
7/4 minus 2/11 as a fraction is 69/44.

where
7/4 is a improper fraction as a minuend,
2/11 is a proper fraction as a subtrahend,
69/44 is the difference between 7/4 and 2/11.

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7/4 minus 2/11 as a decimal
7/4 - 2/11 = 69/44
69/44 = 1.5682
(7/4) - (2/11) as a decimal is 1.5682

where
1.5682 is the difference between 7/4 and 2/11.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/11 from 7/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/4 minus 2/11.
1. LCM method
2. Cross multiplication method.

(7/4) - (2/11) using LCM Method:
What is 7/4 minus 2/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/4
Fraction B: 2/11

What to be found?
(7/4) - (2/11) = ?
Find what's the difference between 7/4 and 2/11.

step 2 Compare the denominators of fractions 7/4 and 2/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/4 and 2/11 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 7/4 and 2/11:
The LCM of 4 and 11 is 44.

step 4 Write the fractions 7/4 and 2/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/4 - 2/11
= [(7 x 44)/(4 x 44)] - [(2 x 44)/(11 x 44)]

step 5 Simplify the expression to have common denominator:
= 77/44 - 8/44

step 6 Take the common values out and rewrite the above expression like the below:
= 1/44 x (77/1 - 8/1)
= 1/44 x (77 - 8)

step 7Simplify the above expression further:
= 1/44 x 69
= 69/44
7/4 - 2/11 = 69/44

Hence,
7/4 minus 2/11 as a fraction is 69/44.

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7/4 - 2/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/4
Fraction B: 2/11

What to be found?
(7/4)-(2/11) = ?
Find what's the difference between 7/4 and 2/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 11), 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 11) and rewrite the equation as like the below:
= (7 x 11) - (2 x 4)/(4 x 11)

step 3 Simplify and rewrite the fraction:
= (77 - 8)/44
7/4 - 2/11 = 69/44

Hence,
7/4 minus 2/11 in fraction is 69/44