What is 7/2 minus 6/7 in fraction?
7/2 minus 6/7 equals to 37/14 in fraction form.
Learn how to find what is 7/2 minus 6/7 in fraction form just in a few minutes. We have covered the easiest method to write 7/2 - 6/7 as a fraction and decimal.
Summary: 7/2 minus 6/7
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 7/2 and 6/7 having identical denominators before starting adding the fractions. Find the LCM of denominators, 14 is the LCM of 2 and 7. Multiply the LCM 14 with all the numerators and denominators of both fractions (7/2 x 14/14) - (6/7 x 14/14) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 37/14.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 6/7 from 7/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/2 minus 6/7.
1. LCM method
2. Cross multiplication method.
7/2-6/7 using LCM Method:
What is 7/2 minus 6/7 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 6/7
What to be found?
7/2-6/7 = ?
Find what's the difference between 7/2 and 6/7.
step 2 Compare the denominators of fractions 7/2 and 6/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/2 and 6/7 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 7/2 and 6/7:
The LCM of 2 and 7 is 14.
step 4 Write the fractions 7/2 and 6/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/2-6/7
=(7 x 14)/(2 x 14)-(6 x 14)/(7 x 14)
step 5 Simplify the expression to have common denominator:
=49/14-12/14
step 6 Take the common values out and rewrite the above expression like the below:
=1/14 x (49/1-12/1)
=1/14 x (49 - 12)
step 7Simplify the above expression further:
=1/14 x 37
=37/14
7/2-6/7=37/14
Hence,
7/2 minus 6/7 equals to 37/14 in fraction.
7/2-6/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 6/7
What to be found?
7/2-6/7 = ?
Find what's the difference between 7/2 and 6/7.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 7), find the product of numerator of Fraction B and denominator of Fraction A (6 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 7) and rewrite the equation as like the below:
= (7 x 7) - (6 x 2)/(2 x 7)
step 3 Simplify and rewrite the fraction:
= (49 - 12)/14
7/2-6/7 = 37/14
Hence,
7/2 minus 6/7 = 37/14