What is 5/9 minus 1/6 in fraction?
5/9 minus 1/6 equals to 7/18 in fraction form.
Learn how to find what is 5/9 minus 1/6 in fraction form just in a few minutes. We have covered the easiest method to write 5/9 - 1/6 as a fraction and decimal.
Summary: 5/9 minus 1/6
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/9 and 1/6 having identical denominators before starting adding the fractions. Find the LCM of denominators, 18 is the LCM of 9 and 6. Multiply the LCM 18 with all the numerators and denominators of both fractions (5/9 x 18/18) - (1/6 x 18/18) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 7/18.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/6 from 5/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/9 minus 1/6.
1. LCM method
2. Cross multiplication method.
5/9-1/6 using LCM Method:
What is 5/9 minus 1/6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 1/6
What to be found?
5/9-1/6 = ?
Find what's the difference between 5/9 and 1/6.
step 2 Compare the denominators of fractions 5/9 and 1/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/9 and 1/6 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 5/9 and 1/6:
The LCM of 9 and 6 is 18.
step 4 Write the fractions 5/9 and 1/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/9-1/6
=(5 x 18)/(9 x 18)-(1 x 18)/(6 x 18)
step 5 Simplify the expression to have common denominator:
=10/18-3/18
step 6 Take the common values out and rewrite the above expression like the below:
=1/18 x (10/1-3/1)
=1/18 x (10 - 3)
step 7Simplify the above expression further:
=1/18 x 7
=7/18
5/9-1/6=7/18
Hence,
5/9 minus 1/6 equals to 7/18 in fraction.
5/9-1/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 1/6
What to be found?
5/9-1/6 = ?
Find what's the difference between 5/9 and 1/6.
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 (1 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 6) and rewrite the equation as like the below:
= (5 x 6) - (1 x 9)/(9 x 6)
step 3 Simplify and rewrite the fraction:
= (30 - 9)/54
= 21/54
= 7/18
5/9-1/6 = 7/18
Hence,
5/9 minus 1/6 = 7/18