What is 12/7 - 4/9 in fraction?
12/7 - 4/9 equals to 80/63 in fraction form.
Learn how to find what is 12/7 minus 4/9 in fraction form just in a few minutes. We have covered the easiest method to write 12/7 - 4/9 as a fraction and decimal.
Summary: 12/7 minus 4/9 = 80/63
Since both fractions have unequal denominators, 12/7 minus 4/9 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 12/7 and fraction 4/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 9. 63 is the LCM of 7 and 9. Multiplying the LCM 63 with the numerators and denominators of both fractions (12/7 x 63/63) - (4/9 x 63/63), and simplify further in order to have the common denominator. So the equivalent fraction for 12/7 is 108/63 and for 4/9 is 28/63. By simplifying this fraction subtraction 108/63 - 28/63, it becomes 80/63.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 4/9 from 12/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 12/7 minus 4/9.
1. LCM method
2. Cross multiplication method.
(12/7) - (4/9) using LCM Method:
What is 12/7 minus 4/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 4/9
What to be found?
(12/7) - (4/9) = ?
Find what's the difference between 12/7 and 4/9.
step 2 Compare the denominators of fractions 12/7 and 4/9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 12/7 and 4/9 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 12/7 and 4/9:
The LCM of 7 and 9 is 63.
step 4 Write the fractions 12/7 and 4/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/7 - 4/9
= [(12 x 63)/(7 x 63)] - [(4 x 63)/(9 x 63)]
step 5 Simplify the expression to have common denominator:
= 108/63 - 28/63
step 6 Take the common values out and rewrite the above expression like the below:
= 1/63 x (108/1 - 28/1)
= 1/63 x (108 - 28)
step 7Simplify the above expression further:
= 1/63 x 80
= 80/63
12/7 - 4/9 = 80/63
Hence,
12/7 minus 4/9 as a fraction is 80/63.
12/7 - 4/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 4/9
What to be found?
(12/7)-(4/9) = ?
Find what's the difference between 12/7 and 4/9.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 9), find the product of numerator of Fraction B and denominator of Fraction A (4 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 9) and rewrite the equation as like the below:
= (12 x 9) - (4 x 7)/(7 x 9)
step 3 Simplify and rewrite the fraction:
= (108 - 28)/63
12/7 - 4/9 = 80/63
Hence,
12/7 minus 4/9 in fraction is 80/63