The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/7 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 1/7.
1. LCM method
2. Cross multiplication method.
4/9-1/7 using LCM Method:
What is 4/9 minus 1/7 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 1/7
What to be found?
4/9-1/7 = ?
Find what's the difference between 4/9 and 1/7.
step 2 Compare the denominators of fractions 4/9 and 1/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/9 and 1/7 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 1/7:
The LCM of 9 and 7 is 63.
step 4 Write the fractions 4/9 and 1/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=4/9-1/7
=(4 x 63)/(9 x 63)-(1 x 63)/(7 x 63)
step 5 Simplify the expression to have common denominator:
=28/63-9/63
step 6 Take the common values out and rewrite the above expression like the below:
=1/63 x (28/1-9/1)
=1/63 x (28 - 9)
step 7Simplify the above expression further:
=1/63 x 19
=19/63
4/9-1/7=19/63
Hence,
4/9 minus 1/7 equals to 19/63 in fraction.
4/9-1/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 1/7
What to be found?
4/9-1/7 = ?
Find what's the difference between 4/9 and 1/7.
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 (1 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) - (1 x 9)/(9 x 7)
step 3 Simplify and rewrite the fraction:
= (28 - 9)/63
4/9-1/7 = 19/63
Hence,
4/9 minus 1/7 = 19/63