What is 2/9 minus 3/8 in fraction?
2/9 minus 3/8 equals to -11/72 in fraction form.
Learn how to find what is 2/9 minus 3/8 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 - 3/8 as a fraction and decimal.
Summary: 2/9 minus 3/8
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/9 and 3/8 having identical denominators before starting adding the fractions. Find the LCM of denominators, 72 is the LCM of 9 and 8. Multiply the LCM 72 with all the numerators and denominators of both fractions (2/9 x 72/72) - (3/8 x 72/72) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -11/72.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/8 from 2/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/9 minus 3/8.
1. LCM method
2. Cross multiplication method.
2/9-3/8 using LCM Method:
What is 2/9 minus 3/8 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 3/8
What to be found?
2/9-3/8 = ?
Find what's the difference between 2/9 and 3/8.
step 2 Compare the denominators of fractions 2/9 and 3/8 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/9 and 3/8 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 2/9 and 3/8:
The LCM of 9 and 8 is 72.
step 4 Write the fractions 2/9 and 3/8 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/9-3/8
=(2 x 72)/(9 x 72)-(3 x 72)/(8 x 72)
step 5 Simplify the expression to have common denominator:
=16/72-27/72
step 6 Take the common values out and rewrite the above expression like the below:
=1/72 x (16/1-27/1)
=1/72 x (16 - 27)
step 7Simplify the above expression further:
=1/72 x -11
=-11/72
2/9-3/8=-11/72
Hence,
2/9 minus 3/8 equals to -11/72 in fraction.
2/9-3/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 3/8
What to be found?
2/9-3/8 = ?
Find what's the difference between 2/9 and 3/8.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 8), find the product of numerator of Fraction B and denominator of Fraction A (3 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 8) and rewrite the equation as like the below:
= (2 x 8) - (3 x 9)/(9 x 8)
step 3 Simplify and rewrite the fraction:
= (16 - 27)/72
2/9-3/8 = -11/72
Hence,
2/9 minus 3/8 = -11/72