What is 4/1 - 7/9 in fraction?
4/1 - 7/9 equals to 29/9 in fraction form.
Learn how to find what is 4/1 minus 7/9 in fraction form just in a few minutes. We have covered the easiest method to write 4/1 - 7/9 as a fraction and decimal.
Summary: 4/1 minus 7/9 = 29/9
Since both fractions have unequal denominators, 4/1 minus 7/9 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/1 and fraction 7/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 9. 9 is the LCM of 1 and 9. Multiplying the LCM 9 with the numerators and denominators of both fractions (4/1 x 9/9) - (7/9 x 9/9), and simplify further in order to have the common denominator. So the equivalent fraction for 4/1 is 36/9 and for 7/9 is 7/9. By simplifying this fraction subtraction 36/9 - 7/9, it becomes 29/9.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/9 from 4/1. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 4/1 minus 7/9.
1. LCM method
2. Cross multiplication method.
(4/1) - (7/9) using LCM Method:
What is 4/1 minus 7/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/1
Fraction B: 7/9
What to be found?
(4/1) - (7/9) = ?
Find what's the difference between 4/1 and 7/9.
step 2 Compare the denominators of fractions 4/1 and 7/9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/1 and 7/9 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 4/1 and 7/9:
The LCM of 1 and 9 is 9.
step 4 Write the fractions 4/1 and 7/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/1 - 7/9
= [(4 x 9)/(1 x 9)] - [(7 x 9)/(9 x 9)]
step 5 Simplify the expression to have common denominator:
= 36/9 - 7/9
step 6 Take the common values out and rewrite the above expression like the below:
= 1/9 x (36/1 - 7/1)
= 1/9 x (36 - 7)
step 7Simplify the above expression further:
= 1/9 x 29
= 29/9
4/1 - 7/9 = 29/9
Hence,
4/1 minus 7/9 as a fraction is 29/9.
4/1 - 7/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/1
Fraction B: 7/9
What to be found?
(4/1)-(7/9) = ?
Find what's the difference between 4/1 and 7/9.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 9), find the product of numerator of Fraction B and denominator of Fraction A (7 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 9) and rewrite the equation as like the below:
= (4 x 9) - (7 x 1)/(1 x 9)
step 3 Simplify and rewrite the fraction:
= (36 - 7)/9
4/1 - 7/9 = 29/9
Hence,
4/1 minus 7/9 in fraction is 29/9