2/7 - 11/2 as a fraction

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

Summary: 2/7 minus 11/2 = -73/14
Since both fractions have unequal denominators, 2/7 minus 11/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/7 and fraction 11/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 2. 14 is the LCM of 7 and 2. Multiplying the LCM 14 with the numerators and denominators of both fractions (2/7 x 14/14) - (11/2 x 14/14), and simplify further in order to have the common denominator. So the equivalent fraction for 2/7 is 4/14 and for 11/2 is 77/14. By simplifying this fraction subtraction 4/14 - 77/14, it becomes -73/14.

CALCULATION: 2/7 - 11/2 as a fraction
2/7 - 11/2 = (?)
2/7 - 11/2 = [(2 x 2) - (11 x 7)]/(7 x 2)
= (4 - 77)/14
= -73/14
2/7 - 11/2 = -73/14
2/7 minus 11/2 as a fraction is -73/14.

where
2/7 is a proper fraction as a minuend,
11/2 is a improper fraction as a subtrahend,
-73/14 is the difference between 2/7 and 11/2.

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2/7 minus 11/2 as a decimal
2/7 - 11/2 = -73/14
-73/14 = -5.2143
(2/7) - (11/2) as a decimal is -5.2143

where
-5.2143 is the difference between 2/7 and 11/2.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 4/14 - 77/14

step 6 Take the common values out and rewrite the above expression like the below:
= 1/14 x (4/1 - 77/1)
= 1/14 x (4 - 77)

step 7Simplify the above expression further:
= 1/14 x -73
= -73/14
2/7 - 11/2 = -73/14

Hence,
2/7 minus 11/2 as a fraction is -73/14.

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

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

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

step 3 Simplify and rewrite the fraction:
= (4 - 77)/14
2/7 - 11/2 = -73/14

Hence,
2/7 minus 11/2 in fraction is -73/14