What is 2/3 minus 10/9 in fraction?
2/3 minus 10/9 equals to -4/9 in fraction form.
Learn how to find what is 2/3 minus 10/9 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 - 10/9 as a fraction and decimal.
Summary: 2/3 minus 10/9
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/3 and 10/9 having identical denominators before starting adding the fractions. Find the LCM of denominators, 9 is the LCM of 3 and 9. Multiply the LCM 9 with all the numerators and denominators of both fractions (2/3 x 9/9) - (10/9 x 9/9) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -4/9.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 10/9 from 2/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/3 minus 10/9.
1. LCM method
2. Cross multiplication method.
2/3-10/9 using LCM Method:
What is 2/3 minus 10/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 10/9
What to be found?
2/3-10/9 = ?
Find what's the difference between 2/3 and 10/9.
step 2 Compare the denominators of fractions 2/3 and 10/9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/3 and 10/9 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 2/3 and 10/9:
The LCM of 3 and 9 is 9.
step 4 Write the fractions 2/3 and 10/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/3-10/9
=(2 x 9)/(3 x 9)-(10 x 9)/(9 x 9)
step 5 Simplify the expression to have common denominator:
=6/9-10/9
step 6 Take the common values out and rewrite the above expression like the below:
=1/9 x (6/1-10/1)
=1/9 x (6 - 10)
step 7Simplify the above expression further:
=1/9 x -4
=-4/9
2/3-10/9=-4/9
Hence,
2/3 minus 10/9 equals to -4/9 in fraction.
2/3-10/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 10/9
What to be found?
2/3-10/9 = ?
Find what's the difference between 2/3 and 10/9.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 9), find the product of numerator of Fraction B and denominator of Fraction A (10 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 9) and rewrite the equation as like the below:
= (2 x 9) - (10 x 3)/(3 x 9)
step 3 Simplify and rewrite the fraction:
= (18 - 30)/27
= -12/27
= -4/9
2/3-10/9 = -4/9
Hence,
2/3 minus 10/9 = -4/9