What is 15/2 - 8/7 in fraction?
15/2 - 8/7 equals to 89/14 in fraction form.
Learn how to find what is 15/2 minus 8/7 in fraction form just in a few minutes. We have covered the easiest method to write 15/2 - 8/7 as a fraction and decimal.
Summary: 15/2 minus 8/7 = 89/14
Since both fractions have unequal denominators, 15/2 minus 8/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 15/2 and fraction 8/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 7. 14 is the LCM of 2 and 7. Multiplying the LCM 14 with the numerators and denominators of both fractions (15/2 x 14/14) - (8/7 x 14/14), and simplify further in order to have the common denominator. So the equivalent fraction for 15/2 is 105/14 and for 8/7 is 16/14. By simplifying this fraction subtraction 105/14 - 16/14, it becomes 89/14.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 8/7 from 15/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 15/2 minus 8/7.
1. LCM method
2. Cross multiplication method.
(15/2) - (8/7) using LCM Method:
What is 15/2 minus 8/7 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/2
Fraction B: 8/7
What to be found?
(15/2) - (8/7) = ?
Find what's the difference between 15/2 and 8/7.
step 2 Compare the denominators of fractions 15/2 and 8/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 15/2 and 8/7 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 15/2 and 8/7:
The LCM of 2 and 7 is 14.
step 4 Write the fractions 15/2 and 8/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/2 - 8/7
= [(15 x 14)/(2 x 14)] - [(8 x 14)/(7 x 14)]
step 5 Simplify the expression to have common denominator:
= 105/14 - 16/14
step 6 Take the common values out and rewrite the above expression like the below:
= 1/14 x (105/1 - 16/1)
= 1/14 x (105 - 16)
step 7Simplify the above expression further:
= 1/14 x 89
= 89/14
15/2 - 8/7 = 89/14
Hence,
15/2 minus 8/7 as a fraction is 89/14.
15/2 - 8/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/2
Fraction B: 8/7
What to be found?
(15/2)-(8/7) = ?
Find what's the difference between 15/2 and 8/7.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 7), find the product of numerator of Fraction B and denominator of Fraction A (8 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:
= (15 x 7) - (8 x 2)/(2 x 7)
step 3 Simplify and rewrite the fraction:
= (105 - 16)/14
15/2 - 8/7 = 89/14
Hence,
15/2 minus 8/7 in fraction is 89/14