11/2 - 3/14 as a fraction

Learn how to find what is 11/2 minus 3/14 in fraction form just in a few minutes. We have covered the easiest method to write 11/2 - 3/14 as a fraction and decimal.

Summary: 11/2 minus 3/14 = 37/7
Since both fractions have unequal denominators, 11/2 minus 3/14 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/2 and fraction 3/14 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 (11/2 x 14/14) - (3/14 x 14/14), and simplify further in order to have the common denominator. So the equivalent fraction for 11/2 is 77/14 and for 3/14 is 3/14. By simplifying this fraction subtraction 77/14 - 3/14, it becomes 74/14.

CALCULATION: 11/2 - 3/14 as a fraction
11/2 - 3/14 = (?)
11/2 - 3/14 = [(11 x 14) - (3 x 2)]/(2 x 14)
= (154 - 6)/28
= 148/28
= (4 x 37)/(4 x 7)
= 37/7
11/2 - 3/14 = 37/7
11/2 minus 3/14 as a fraction is 37/7.

where
11/2 is a improper fraction as a minuend,
3/14 is a proper fraction as a subtrahend,
37/7 is the difference between 11/2 and 3/14.

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11/2 minus 3/14 as a decimal
11/2 - 3/14 = 37/7
37/7 = 5.2857
(11/2) - (3/14) as a decimal is 5.2857

where
5.2857 is the difference between 11/2 and 3/14.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/14 from 11/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 11/2 minus 3/14.
1. LCM method
2. Cross multiplication method.

(11/2) - (3/14) using LCM Method:
What is 11/2 minus 3/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/2
Fraction B: 3/14

What to be found?
(11/2) - (3/14) = ?
Find what's the difference between 11/2 and 3/14.

step 2 Compare the denominators of fractions 11/2 and 3/14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/2 and 3/14 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 11/2 and 3/14:
The LCM of 2 and 14 is 14.

step 4 Write the fractions 11/2 and 3/14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/2 - 3/14
= [(11 x 14)/(2 x 14)] - [(3 x 14)/(14 x 14)]

step 5 Simplify the expression to have common denominator:
= 77/14 - 3/14

step 6 Take the common values out and rewrite the above expression like the below:
= 1/14 x (77/1 - 3/1)
= 1/14 x (77 - 3)

step 7Simplify the above expression further:
= 1/14 x 74
= 74/14
= 37/7
11/2 - 3/14 = 37/7

Hence,
11/2 minus 3/14 as a fraction is 37/7.

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11/2 - 3/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/2
Fraction B: 3/14

What to be found?
(11/2)-(3/14) = ?
Find what's the difference between 11/2 and 3/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 14), find the product of numerator of Fraction B and denominator of Fraction A (3 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:
= (11 x 14) - (3 x 2)/(2 x 14)

step 3 Simplify and rewrite the fraction:
= (154 - 6)/28
= 148/28
= 37/7
11/2 - 3/14 = 37/7

Hence,
11/2 minus 3/14 in fraction is 37/7