3/7 - 7/11 as a fraction

Learn how to find what is 3/7 minus 7/11 in fraction form just in a few minutes. We have covered the easiest method to write 3/7 - 7/11 as a fraction and decimal.

Summary: 3/7 minus 7/11 = -16/77
Since both fractions have unequal denominators, 3/7 minus 7/11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/7 and fraction 7/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 11. 77 is the LCM of 7 and 11. Multiplying the LCM 77 with the numerators and denominators of both fractions (3/7 x 77/77) - (7/11 x 77/77), and simplify further in order to have the common denominator. So the equivalent fraction for 3/7 is 33/77 and for 7/11 is 49/77. By simplifying this fraction subtraction 33/77 - 49/77, it becomes -16/77.

CALCULATION: 3/7 - 7/11 as a fraction
3/7 - 7/11 = (?)
3/7 - 7/11 = [(3 x 11) - (7 x 7)]/(7 x 11)
= (33 - 49)/77
= -16/77
3/7 - 7/11 = -16/77
3/7 minus 7/11 as a fraction is -16/77.

where
3/7 is a proper fraction as a minuend,
7/11 is a proper fraction as a subtrahend,
-16/77 is the difference between 3/7 and 7/11.

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3/7 minus 7/11 as a decimal
3/7 - 7/11 = -16/77
-16/77 = -0.2078
(3/7) - (7/11) as a decimal is -0.2078

where
-0.2078 is the difference between 3/7 and 7/11.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/11 from 3/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/7 minus 7/11.
1. LCM method
2. Cross multiplication method.

(3/7) - (7/11) using LCM Method:
What is 3/7 minus 7/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 7/11

What to be found?
(3/7) - (7/11) = ?
Find what's the difference between 3/7 and 7/11.

step 2 Compare the denominators of fractions 3/7 and 7/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/7 and 7/11 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 3/7 and 7/11:
The LCM of 7 and 11 is 77.

step 4 Write the fractions 3/7 and 7/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/7 - 7/11
= [(3 x 77)/(7 x 77)] - [(7 x 77)/(11 x 77)]

step 5 Simplify the expression to have common denominator:
= 33/77 - 49/77

step 6 Take the common values out and rewrite the above expression like the below:
= 1/77 x (33/1 - 49/1)
= 1/77 x (33 - 49)

step 7Simplify the above expression further:
= 1/77 x -16
= -16/77
3/7 - 7/11 = -16/77

Hence,
3/7 minus 7/11 as a fraction is -16/77.

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3/7 - 7/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 7/11

What to be found?
(3/7)-(7/11) = ?
Find what's the difference between 3/7 and 7/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 11), find the product of numerator of Fraction B and denominator of Fraction A (7 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 11) and rewrite the equation as like the below:
= (3 x 11) - (7 x 7)/(7 x 11)

step 3 Simplify and rewrite the fraction:
= (33 - 49)/77
3/7 - 7/11 = -16/77

Hence,
3/7 minus 7/11 in fraction is -16/77