What is 3/5 minus 8/3 in fraction?
3/5 minus 8/3 equals to -31/15 in fraction form.
Learn how to find what is 3/5 minus 8/3 in fraction form just in a few minutes. We have covered the easiest method to write 3/5 - 8/3 as a fraction and decimal.
Summary: 3/5 minus 8/3
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/5 and 8/3 having identical denominators before starting adding the fractions. Find the LCM of denominators, 15 is the LCM of 5 and 3. Multiply the LCM 15 with all the numerators and denominators of both fractions (3/5 x 15/15) - (8/3 x 15/15) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -31/15.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 8/3 from 3/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/5 minus 8/3.
1. LCM method
2. Cross multiplication method.
3/5-8/3 using LCM Method:
What is 3/5 minus 8/3 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 8/3
What to be found?
3/5-8/3 = ?
Find what's the difference between 3/5 and 8/3.
step 2 Compare the denominators of fractions 3/5 and 8/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/5 and 8/3 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 3/5 and 8/3:
The LCM of 5 and 3 is 15.
step 4 Write the fractions 3/5 and 8/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/5-8/3
=(3 x 15)/(5 x 15)-(8 x 15)/(3 x 15)
step 5 Simplify the expression to have common denominator:
=9/15-40/15
step 6 Take the common values out and rewrite the above expression like the below:
=1/15 x (9/1-40/1)
=1/15 x (9 - 40)
step 7Simplify the above expression further:
=1/15 x -31
=-31/15
3/5-8/3=-31/15
Hence,
3/5 minus 8/3 equals to -31/15 in fraction.
3/5-8/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 8/3
What to be found?
3/5-8/3 = ?
Find what's the difference between 3/5 and 8/3.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 3), find the product of numerator of Fraction B and denominator of Fraction A (8 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 3) and rewrite the equation as like the below:
= (3 x 3) - (8 x 5)/(5 x 3)
step 3 Simplify and rewrite the fraction:
= (9 - 40)/15
3/5-8/3 = -31/15
Hence,
3/5 minus 8/3 = -31/15