What is 5/2 minus 5/6 in fraction?
5/2 minus 5/6 equals to 5/3 in fraction form.
Learn how to find what is 5/2 minus 5/6 in fraction form just in a few minutes. We have covered the easiest method to write 5/2 - 5/6 as a fraction and decimal.
Summary: 5/2 minus 5/6
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/2 and 5/6 having identical denominators before starting adding the fractions. Find the LCM of denominators, 6 is the LCM of 2 and 6. Multiply the LCM 6 with all the numerators and denominators of both fractions (5/2 x 6/6) - (5/6 x 6/6) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 10/6.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/6 from 5/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/2 minus 5/6.
1. LCM method
2. Cross multiplication method.
5/2-5/6 using LCM Method:
What is 5/2 minus 5/6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 5/6
What to be found?
5/2-5/6 = ?
Find what's the difference between 5/2 and 5/6.
step 2 Compare the denominators of fractions 5/2 and 5/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/2 and 5/6 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 5/2 and 5/6:
The LCM of 2 and 6 is 6.
step 4 Write the fractions 5/2 and 5/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/2-5/6
=(5 x 6)/(2 x 6)-(5 x 6)/(6 x 6)
step 5 Simplify the expression to have common denominator:
=15/6-5/6
step 6 Take the common values out and rewrite the above expression like the below:
=1/6 x (15/1-5/1)
=1/6 x (15 - 5)
step 7Simplify the above expression further:
=1/6 x 10
= 10/6
=5/3
5/2-5/6=5/3
Hence,
5/2 minus 5/6 equals to 5/3 in fraction.
5/2-5/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 5/6
What to be found?
5/2-5/6 = ?
Find what's the difference between 5/2 and 5/6.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 6), find the product of numerator of Fraction B and denominator of Fraction A (5 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 6) and rewrite the equation as like the below:
= (5 x 6) - (5 x 2)/(2 x 6)
step 3 Simplify and rewrite the fraction:
= (30 - 10)/12
= 20/12
= 5/3
5/2-5/6 = 5/3
Hence,
5/2 minus 5/6 = 5/3