What is 4/9 - 8/7 in fraction?
4/9 - 8/7 equals to -44/63 in fraction form.
Learn how to find what is 4/9 minus 8/7 in fraction form just in a few minutes. We have covered the easiest method to write 4/9 - 8/7 as a fraction and decimal.
Summary: 4/9 minus 8/7 = -44/63
Since both fractions have unequal denominators, 4/9 minus 8/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/9 and fraction 8/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 7. 63 is the LCM of 9 and 7. Multiplying the LCM 63 with the numerators and denominators of both fractions (4/9 x 63/63) - (8/7 x 63/63), and simplify further in order to have the common denominator. So the equivalent fraction for 4/9 is 28/63 and for 8/7 is 72/63. By simplifying this fraction subtraction 28/63 - 72/63, it becomes -44/63.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 8/7 from 4/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 4/9 minus 8/7.
1. LCM method
2. Cross multiplication method.
(4/9) - (8/7) using LCM Method:
What is 4/9 minus 8/7 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 8/7
What to be found?
(4/9) - (8/7) = ?
Find what's the difference between 4/9 and 8/7.
step 2 Compare the denominators of fractions 4/9 and 8/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/9 and 8/7 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 4/9 and 8/7:
The LCM of 9 and 7 is 63.
step 4 Write the fractions 4/9 and 8/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/9 - 8/7
= [(4 x 63)/(9 x 63)] - [(8 x 63)/(7 x 63)]
step 5 Simplify the expression to have common denominator:
= 28/63 - 72/63
step 6 Take the common values out and rewrite the above expression like the below:
= 1/63 x (28/1 - 72/1)
= 1/63 x (28 - 72)
step 7Simplify the above expression further:
= 1/63 x -44
= -44/63
4/9 - 8/7 = -44/63
Hence,
4/9 minus 8/7 as a fraction is -44/63.
4/9 - 8/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 8/7
What to be found?
(4/9)-(8/7) = ?
Find what's the difference between 4/9 and 8/7.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 7), find the product of numerator of Fraction B and denominator of Fraction A (8 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 7) and rewrite the equation as like the below:
= (4 x 7) - (8 x 9)/(9 x 7)
step 3 Simplify and rewrite the fraction:
= (28 - 72)/63
4/9 - 8/7 = -44/63
Hence,
4/9 minus 8/7 in fraction is -44/63