What is 5/3 minus 6/10 in fraction?
5/3 minus 6/10 equals to 16/15 in fraction form.
Learn how to find what is 5/3 minus 6/10 in fraction form just in a few minutes. We have covered the easiest method to write 5/3 - 6/10 as a fraction and decimal.
Summary: 5/3 minus 6/10
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/3 and 6/10 having identical denominators before starting adding the fractions. Find the LCM of denominators, 30 is the LCM of 3 and 10. Multiply the LCM 30 with all the numerators and denominators of both fractions (5/3 x 30/30) - (6/10 x 30/30) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 32/30.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 6/10 from 5/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/3 minus 6/10.
1. LCM method
2. Cross multiplication method.
5/3-6/10 using LCM Method:
What is 5/3 minus 6/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/3
Fraction B: 6/10
What to be found?
5/3-6/10 = ?
Find what's the difference between 5/3 and 6/10.
step 2 Compare the denominators of fractions 5/3 and 6/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/3 and 6/10 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 5/3 and 6/10:
The LCM of 3 and 10 is 30.
step 4 Write the fractions 5/3 and 6/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/3-6/10
=(5 x 30)/(3 x 30)-(6 x 30)/(10 x 30)
step 5 Simplify the expression to have common denominator:
=50/30-18/30
step 6 Take the common values out and rewrite the above expression like the below:
=1/30 x (50/1-18/1)
=1/30 x (50 - 18)
step 7Simplify the above expression further:
=1/30 x 32
= 32/30
=16/15
5/3-6/10=16/15
Hence,
5/3 minus 6/10 equals to 16/15 in fraction.
5/3-6/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/3
Fraction B: 6/10
What to be found?
5/3-6/10 = ?
Find what's the difference between 5/3 and 6/10.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 10), find the product of numerator of Fraction B and denominator of Fraction A (6 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 10) and rewrite the equation as like the below:
= (5 x 10) - (6 x 3)/(3 x 10)
step 3 Simplify and rewrite the fraction:
= (50 - 18)/30
= 32/30
= 16/15
5/3-6/10 = 16/15
Hence,
5/3 minus 6/10 = 16/15