What is 11/7 minus 7/2 in fraction?
11/7 minus 7/2 equals to -27/14 in fraction form.
Learn how to find what is 11/7 minus 7/2 in fraction form just in a few minutes. We have covered the easiest method to write 11/7 - 7/2 as a fraction and decimal.
Summary: 11/7 minus 7/2
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 11/7 and 7/2 having identical denominators before starting adding the fractions. Find the LCM of denominators, 14 is the LCM of 7 and 2. Multiply the LCM 14 with all the numerators and denominators of both fractions (11/7 x 14/14) - (7/2 x 14/14) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -27/14.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/2 from 11/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 11/7 minus 7/2.
1. LCM method
2. Cross multiplication method.
11/7-7/2 using LCM Method:
What is 11/7 minus 7/2 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/7
Fraction B: 7/2
What to be found?
11/7-7/2 = ?
Find what's the difference between 11/7 and 7/2.
step 2 Compare the denominators of fractions 11/7 and 7/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/7 and 7/2 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 11/7 and 7/2:
The LCM of 7 and 2 is 14.
step 4 Write the fractions 11/7 and 7/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=11/7-7/2
=(11 x 14)/(7 x 14)-(7 x 14)/(2 x 14)
step 5 Simplify the expression to have common denominator:
=22/14-49/14
step 6 Take the common values out and rewrite the above expression like the below:
=1/14 x (22/1-49/1)
=1/14 x (22 - 49)
step 7Simplify the above expression further:
=1/14 x -27
=-27/14
11/7-7/2=-27/14
Hence,
11/7 minus 7/2 equals to -27/14 in fraction.
11/7-7/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/7
Fraction B: 7/2
What to be found?
11/7-7/2 = ?
Find what's the difference between 11/7 and 7/2.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 2), 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 2) and rewrite the equation as like the below:
= (11 x 2) - (7 x 7)/(7 x 2)
step 3 Simplify and rewrite the fraction:
= (22 - 49)/14
11/7-7/2 = -27/14
Hence,
11/7 minus 7/2 = -27/14