What is 6/5 - 17/20 in fraction?
6/5 - 17/20 equals to 7/20 in fraction form.
Learn how to find what is 6/5 minus 17/20 in fraction form just in a few minutes. We have covered the easiest method to write 6/5 - 17/20 as a fraction and decimal.
Summary: 6/5 minus 17/20 = 7/20
Since both fractions have unequal denominators, 6/5 minus 17/20 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 6/5 and fraction 17/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 20. 20 is the LCM of 5 and 20. Multiplying the LCM 20 with the numerators and denominators of both fractions (6/5 x 20/20) - (17/20 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 6/5 is 24/20 and for 17/20 is 17/20. By simplifying this fraction subtraction 24/20 - 17/20, it becomes 7/20.
Pie Chart Representation: 6/5 - 17/20 = 7/20
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/20 from 6/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 6/5 minus 17/20.
1. LCM method
2. Cross multiplication method.
(6/5) - (17/20) using LCM Method:
What is 6/5 minus 17/20 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 17/20
What to be found?
(6/5) - (17/20) = ?
Find what's the difference between 6/5 and 17/20.
step 2 Compare the denominators of fractions 6/5 and 17/20 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 6/5 and 17/20 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 6/5 and 17/20:
The LCM of 5 and 20 is 20.
step 4 Write the fractions 6/5 and 17/20 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/5 - 17/20
= [(6 x 20)/(5 x 20)] - [(17 x 20)/(20 x 20)]
step 5 Simplify the expression to have common denominator:
= 24/20 - 17/20
step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (24/1 - 17/1)
= 1/20 x (24 - 17)
step 7Simplify the above expression further:
= 1/20 x 7
= 7/20
6/5 - 17/20 = 7/20
Hence,
6/5 minus 17/20 as a fraction is 7/20.
6/5 - 17/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 17/20
What to be found?
(6/5)-(17/20) = ?
Find what's the difference between 6/5 and 17/20.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 20), find the product of numerator of Fraction B and denominator of Fraction A (17 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 20) and rewrite the equation as like the below:
= (6 x 20) - (17 x 5)/(5 x 20)
step 3 Simplify and rewrite the fraction:
= (120 - 85)/100
= 35/100
= 7/20
6/5 - 17/20 = 7/20
Hence,
6/5 minus 17/20 in fraction is 7/20