What is 13/8 - 17 in fraction?
13/8 - 17 equals to -123/8 in fraction form.
Learn how to find what is 13/8 minus 17 in fraction form just in a few minutes. We have covered the easiest method to write 13/8 - 17 as a fraction and decimal.
Summary: 13/8 minus 17 = -123/8
Since both fractions have unequal denominators, 13/8 minus 17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/8 and fraction 17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 1. 8 is the LCM of 8 and 1. Multiplying the LCM 8 with the numerators and denominators of both fractions (13/8 x 8/8) - (17 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 13/8 is 13/8 and for 17 is 136/8. By simplifying this fraction subtraction 13/8 - 136/8, it becomes -123/8.
The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 17 from 13/8. use any one of the following methods to find the equivalent fraction for 13/8 minus 17.
1. LCM method
2. Cross multiplication method.
(13/8) - (17) using LCM Method:
What is 13/8 minus 17 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 17/1
What to be found?
(13/8) - (17) = ?
Find what's the difference between 13/8 and 17.
step 2 Compare the denominators of fractions 13/8 and 17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/8 and 17 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 13/8 and 17:
The LCM of 8 and 1 is 8.
step 4 Write the fractions 13/8 and 17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/8 - 17
= [(13 x 8)/(8 x 8)] - [(17 x 8)/(1 x 8)]
step 5 Simplify the expression to have common denominator:
= 13/8 - 136/8
step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (13/1 - 136/1)
= 1/8 x (13 - 136)
step 7Simplify the above expression further:
= 1/8 x -123
= -123/8
13/8 - 17 = -123/8
Hence,
13/8 minus 17 as a fraction is -123/8.
13/8 - 17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 17/1
What to be found?
(13/8)-(17) = ?
Find what's the difference between 13/8 and 17.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 1), find the product of numerator of Fraction B and denominator of Fraction A (17 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 1) and rewrite the equation as like the below:
= (13 x 1) - (17 x 8)/(8 x 1)
step 3 Simplify and rewrite the fraction:
= (13 - 136)/8
13/8 - 17 = -123/8
Hence,
13/8 minus 17 in fraction is -123/8