7/2 - 11/14 as a fraction

Learn how to find what is 7/2 minus 11/14 in fraction form just in a few minutes. We have covered the easiest method to write 7/2 - 11/14 as a fraction and decimal.

Summary: 7/2 minus 11/14 = 19/7
Since both fractions have unequal denominators, 7/2 minus 11/14 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/2 and fraction 11/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 14. 14 is the LCM of 2 and 14. Multiplying the LCM 14 with the numerators and denominators of both fractions (7/2 x 14/14) - (11/14 x 14/14), and simplify further in order to have the common denominator. So the equivalent fraction for 7/2 is 49/14 and for 11/14 is 11/14. By simplifying this fraction subtraction 49/14 - 11/14, it becomes 38/14.

CALCULATION: 7/2 - 11/14 as a fraction
7/2 - 11/14 = (?)
7/2 - 11/14 = [(7 x 14) - (11 x 2)]/(2 x 14)
= (98 - 22)/28
= 76/28
= (4 x 19)/(4 x 7)
= 19/7
7/2 - 11/14 = 19/7
7/2 minus 11/14 as a fraction is 19/7.

where
7/2 is a improper fraction as a minuend,
11/14 is a proper fraction as a subtrahend,
19/7 is the difference between 7/2 and 11/14.

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7/2 minus 11/14 as a decimal
7/2 - 11/14 = 19/7
19/7 = 2.7143
(7/2) - (11/14) as a decimal is 2.7143

where
2.7143 is the difference between 7/2 and 11/14.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 11/14 from 7/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/2 minus 11/14.
1. LCM method
2. Cross multiplication method.

(7/2) - (11/14) using LCM Method:
What is 7/2 minus 11/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 11/14

What to be found?
(7/2) - (11/14) = ?
Find what's the difference between 7/2 and 11/14.

step 2 Compare the denominators of fractions 7/2 and 11/14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/2 and 11/14 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 7/2 and 11/14:
The LCM of 2 and 14 is 14.

step 4 Write the fractions 7/2 and 11/14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/2 - 11/14
= [(7 x 14)/(2 x 14)] - [(11 x 14)/(14 x 14)]

step 5 Simplify the expression to have common denominator:
= 49/14 - 11/14

step 6 Take the common values out and rewrite the above expression like the below:
= 1/14 x (49/1 - 11/1)
= 1/14 x (49 - 11)

step 7Simplify the above expression further:
= 1/14 x 38
= 38/14
= 19/7
7/2 - 11/14 = 19/7

Hence,
7/2 minus 11/14 as a fraction is 19/7.

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7/2 - 11/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 11/14

What to be found?
(7/2)-(11/14) = ?
Find what's the difference between 7/2 and 11/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 14), find the product of numerator of Fraction B and denominator of Fraction A (11 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 14) and rewrite the equation as like the below:
= (7 x 14) - (11 x 2)/(2 x 14)

step 3 Simplify and rewrite the fraction:
= (98 - 22)/28
= 76/28
= 19/7
7/2 - 11/14 = 19/7

Hence,
7/2 minus 11/14 in fraction is 19/7