What is 3/5 minus 9/2 in fraction?
3/5 minus 9/2 equals to -39/10 in fraction form.
Learn how to find what is 3/5 minus 9/2 in fraction form just in a few minutes. We have covered the easiest method to write 3/5 - 9/2 as a fraction and decimal.
Summary: 3/5 minus 9/2
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/5 and 9/2 having identical denominators before starting adding the fractions. Find the LCM of denominators, 10 is the LCM of 5 and 2. Multiply the LCM 10 with all the numerators and denominators of both fractions (3/5 x 10/10) - (9/2 x 10/10) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -39/10.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/2 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 9/2.
1. LCM method
2. Cross multiplication method.
3/5-9/2 using LCM Method:
What is 3/5 minus 9/2 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 9/2
What to be found?
3/5-9/2 = ?
Find what's the difference between 3/5 and 9/2.
step 2 Compare the denominators of fractions 3/5 and 9/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/5 and 9/2 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 9/2:
The LCM of 5 and 2 is 10.
step 4 Write the fractions 3/5 and 9/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/5-9/2
=(3 x 10)/(5 x 10)-(9 x 10)/(2 x 10)
step 5 Simplify the expression to have common denominator:
=6/10-45/10
step 6 Take the common values out and rewrite the above expression like the below:
=1/10 x (6/1-45/1)
=1/10 x (6 - 45)
step 7Simplify the above expression further:
=1/10 x -39
=-39/10
3/5-9/2=-39/10
Hence,
3/5 minus 9/2 equals to -39/10 in fraction.
3/5-9/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 9/2
What to be found?
3/5-9/2 = ?
Find what's the difference between 3/5 and 9/2.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 2), find the product of numerator of Fraction B and denominator of Fraction A (9 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 2) and rewrite the equation as like the below:
= (3 x 2) - (9 x 5)/(5 x 2)
step 3 Simplify and rewrite the fraction:
= (6 - 45)/10
3/5-9/2 = -39/10
Hence,
3/5 minus 9/2 = -39/10