What is 2/6 minus 10/7 in fraction?
2/6 minus 10/7 equals to -23/21 in fraction form.
Learn how to find what is 2/6 minus 10/7 in fraction form just in a few minutes. We have covered the easiest method to write 2/6 - 10/7 as a fraction and decimal.
Summary: 2/6 minus 10/7
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/6 and 10/7 having identical denominators before starting adding the fractions. Find the LCM of denominators, 42 is the LCM of 6 and 7. Multiply the LCM 42 with all the numerators and denominators of both fractions (2/6 x 42/42) - (10/7 x 42/42) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -46/42.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 10/7 from 2/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/6 minus 10/7.
1. LCM method
2. Cross multiplication method.
2/6-10/7 using LCM Method:
What is 2/6 minus 10/7 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 10/7
What to be found?
2/6-10/7 = ?
Find what's the difference between 2/6 and 10/7.
step 2 Compare the denominators of fractions 2/6 and 10/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/6 and 10/7 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 2/6 and 10/7:
The LCM of 6 and 7 is 42.
step 4 Write the fractions 2/6 and 10/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/6-10/7
=(2 x 42)/(6 x 42)-(10 x 42)/(7 x 42)
step 5 Simplify the expression to have common denominator:
=14/42-60/42
step 6 Take the common values out and rewrite the above expression like the below:
=1/42 x (14/1-60/1)
=1/42 x (14 - 60)
step 7Simplify the above expression further:
=1/42 x -46
= -46/42
=-23/21
2/6-10/7=-23/21
Hence,
2/6 minus 10/7 equals to -23/21 in fraction.
2/6-10/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 10/7
What to be found?
2/6-10/7 = ?
Find what's the difference between 2/6 and 10/7.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 7), find the product of numerator of Fraction B and denominator of Fraction A (10 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 7) and rewrite the equation as like the below:
= (2 x 7) - (10 x 6)/(6 x 7)
step 3 Simplify and rewrite the fraction:
= (14 - 60)/42
= -46/42
= -23/21
2/6-10/7 = -23/21
Hence,
2/6 minus 10/7 = -23/21