What is 8 - 3/17 in fraction?
8 - 3/17 equals to 133/17 in fraction form.
Learn how to find what is 8 minus 3/17 in fraction form just in a few minutes. We have covered the easiest method to write 8 - 3/17 as a fraction and decimal.
Summary: 8 minus 3/17 = 133/17
Since both fractions have unequal denominators, 8 minus 3/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 8 and fraction 3/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 17. 17 is the LCM of 1 and 17. Multiplying the LCM 17 with the numerators and denominators of both fractions (8 x 17/17) - (3/17 x 17/17), and simplify further in order to have the common denominator. So the equivalent fraction for 8 is 136/17 and for 3/17 is 3/17. By simplifying this fraction subtraction 136/17 - 3/17, it becomes 133/17.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/17 from 8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 8 minus 3/17.
1. LCM method
2. Cross multiplication method.
(8) - (3/17) using LCM Method:
What is 8 minus 3/17 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/1
Fraction B: 3/17
What to be found?
(8) - (3/17) = ?
Find what's the difference between 8 and 3/17.
step 2 Compare the denominators of fractions 8 and 3/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8 and 3/17 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 8 and 3/17:
The LCM of 1 and 17 is 17.
step 4 Write the fractions 8 and 3/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8 - 3/17
= [(8 x 17)/(1 x 17)] - [(3 x 17)/(17 x 17)]
step 5 Simplify the expression to have common denominator:
= 136/17 - 3/17
step 6 Take the common values out and rewrite the above expression like the below:
= 1/17 x (136/1 - 3/1)
= 1/17 x (136 - 3)
step 7Simplify the above expression further:
= 1/17 x 133
= 133/17
8 - 3/17 = 133/17
Hence,
8 minus 3/17 as a fraction is 133/17.
8 - 3/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/1
Fraction B: 3/17
What to be found?
(8)-(3/17) = ?
Find what's the difference between 8 and 3/17.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 17), find the product of numerator of Fraction B and denominator of Fraction A (3 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 17) and rewrite the equation as like the below:
= (8 x 17) - (3 x 1)/(1 x 17)
step 3 Simplify and rewrite the fraction:
= (136 - 3)/17
8 - 3/17 = 133/17
Hence,
8 minus 3/17 in fraction is 133/17