What is 5/7 minus 2/5 in fraction?
5/7 minus 2/5 equals to 11/35 in fraction form.
Learn how to find what is 5/7 minus 2/5 in fraction form just in a few minutes. We have covered the easiest method to write 5/7 - 2/5 as a fraction and decimal.
Summary: 5/7 minus 2/5
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/7 and 2/5 having identical denominators before starting adding the fractions. Find the LCM of denominators, 35 is the LCM of 7 and 5. Multiply the LCM 35 with all the numerators and denominators of both fractions (5/7 x 35/35) - (2/5 x 35/35) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 11/35.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/5 from 5/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/7 minus 2/5.
1. LCM method
2. Cross multiplication method.
5/7-2/5 using LCM Method:
What is 5/7 minus 2/5 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 2/5
What to be found?
5/7-2/5 = ?
Find what's the difference between 5/7 and 2/5.
step 2 Compare the denominators of fractions 5/7 and 2/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/7 and 2/5 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 5/7 and 2/5:
The LCM of 7 and 5 is 35.
step 4 Write the fractions 5/7 and 2/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/7-2/5
=(5 x 35)/(7 x 35)-(2 x 35)/(5 x 35)
step 5 Simplify the expression to have common denominator:
=25/35-14/35
step 6 Take the common values out and rewrite the above expression like the below:
=1/35 x (25/1-14/1)
=1/35 x (25 - 14)
step 7Simplify the above expression further:
=1/35 x 11
=11/35
5/7-2/5=11/35
Hence,
5/7 minus 2/5 equals to 11/35 in fraction.
5/7-2/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 2/5
What to be found?
5/7-2/5 = ?
Find what's the difference between 5/7 and 2/5.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 5), find the product of numerator of Fraction B and denominator of Fraction A (2 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 5) and rewrite the equation as like the below:
= (5 x 5) - (2 x 7)/(7 x 5)
step 3 Simplify and rewrite the fraction:
= (25 - 14)/35
5/7-2/5 = 11/35
Hence,
5/7 minus 2/5 = 11/35