What is 11/7 minus 7/3 in fraction?
11/7 minus 7/3 equals to -16/21 in fraction form.
Learn how to find what is 11/7 minus 7/3 in fraction form just in a few minutes. We have covered the easiest method to write 11/7 - 7/3 as a fraction and decimal.
Summary: 11/7 minus 7/3
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 11/7 and 7/3 having identical denominators before starting adding the fractions. Find the LCM of denominators, 21 is the LCM of 7 and 3. Multiply the LCM 21 with all the numerators and denominators of both fractions (11/7 x 21/21) - (7/3 x 21/21) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -16/21.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/3 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 7/3.
1. LCM method
2. Cross multiplication method.
11/7-7/3 using LCM Method:
What is 11/7 minus 7/3 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/7
Fraction B: 7/3
What to be found?
11/7-7/3 = ?
Find what's the difference between 11/7 and 7/3.
step 2 Compare the denominators of fractions 11/7 and 7/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/7 and 7/3 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 7/3:
The LCM of 7 and 3 is 21.
step 4 Write the fractions 11/7 and 7/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=11/7-7/3
=(11 x 21)/(7 x 21)-(7 x 21)/(3 x 21)
step 5 Simplify the expression to have common denominator:
=33/21-49/21
step 6 Take the common values out and rewrite the above expression like the below:
=1/21 x (33/1-49/1)
=1/21 x (33 - 49)
step 7Simplify the above expression further:
=1/21 x -16
=-16/21
11/7-7/3=-16/21
Hence,
11/7 minus 7/3 equals to -16/21 in fraction.
11/7-7/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/7
Fraction B: 7/3
What to be found?
11/7-7/3 = ?
Find what's the difference between 11/7 and 7/3.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 3), 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 3) and rewrite the equation as like the below:
= (11 x 3) - (7 x 7)/(7 x 3)
step 3 Simplify and rewrite the fraction:
= (33 - 49)/21
11/7-7/3 = -16/21
Hence,
11/7 minus 7/3 = -16/21