What is 5/7 minus 7/15 in fraction?
5/7 minus 7/15 equals to 26/105 in fraction form.
Learn how to find what is 5/7 minus 7/15 in fraction form just in a few minutes. We have covered the easiest method to write 5/7 - 7/15 as a fraction and decimal.
Summary: 5/7 minus 7/15
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/7 and 7/15 having identical denominators before starting adding the fractions. Find the LCM of denominators, 105 is the LCM of 7 and 15. Multiply the LCM 105 with all the numerators and denominators of both fractions (5/7 x 105/105) - (7/15 x 105/105) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 26/105.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/15 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 7/15.
1. LCM method
2. Cross multiplication method.
5/7-7/15 using LCM Method:
What is 5/7 minus 7/15 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 7/15
What to be found?
5/7-7/15 = ?
Find what's the difference between 5/7 and 7/15.
step 2 Compare the denominators of fractions 5/7 and 7/15 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/7 and 7/15 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 7/15:
The LCM of 7 and 15 is 105.
step 4 Write the fractions 5/7 and 7/15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/7-7/15
=(5 x 105)/(7 x 105)-(7 x 105)/(15 x 105)
step 5 Simplify the expression to have common denominator:
=75/105-49/105
step 6 Take the common values out and rewrite the above expression like the below:
=1/105 x (75/1-49/1)
=1/105 x (75 - 49)
step 7Simplify the above expression further:
=1/105 x 26
=26/105
5/7-7/15=26/105
Hence,
5/7 minus 7/15 equals to 26/105 in fraction.
5/7-7/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 7/15
What to be found?
5/7-7/15 = ?
Find what's the difference between 5/7 and 7/15.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 15), 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 15) and rewrite the equation as like the below:
= (5 x 15) - (7 x 7)/(7 x 15)
step 3 Simplify and rewrite the fraction:
= (75 - 49)/105
5/7-7/15 = 26/105
Hence,
5/7 minus 7/15 = 26/105