What is 3/9 minus 4/13 in fraction?
3/9 minus 4/13 equals to 1/39 in fraction form.
Learn how to find what is 3/9 minus 4/13 in fraction form just in a few minutes. We have covered the easiest method to write 3/9 - 4/13 as a fraction and decimal.
Summary: 3/9 minus 4/13
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/9 and 4/13 having identical denominators before starting adding the fractions. Find the LCM of denominators, 117 is the LCM of 9 and 13. Multiply the LCM 117 with all the numerators and denominators of both fractions (3/9 x 117/117) - (4/13 x 117/117) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 3/117.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 4/13 from 3/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/9 minus 4/13.
1. LCM method
2. Cross multiplication method.
3/9-4/13 using LCM Method:
What is 3/9 minus 4/13 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/9
Fraction B: 4/13
What to be found?
3/9-4/13 = ?
Find what's the difference between 3/9 and 4/13.
step 2 Compare the denominators of fractions 3/9 and 4/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/9 and 4/13 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 3/9 and 4/13:
The LCM of 9 and 13 is 117.
step 4 Write the fractions 3/9 and 4/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/9-4/13
=(3 x 117)/(9 x 117)-(4 x 117)/(13 x 117)
step 5 Simplify the expression to have common denominator:
=39/117-36/117
step 6 Take the common values out and rewrite the above expression like the below:
=1/117 x (39/1-36/1)
=1/117 x (39 - 36)
step 7Simplify the above expression further:
=1/117 x 3
= 3/117
=1/39
3/9-4/13=1/39
Hence,
3/9 minus 4/13 equals to 1/39 in fraction.
3/9-4/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/9
Fraction B: 4/13
What to be found?
3/9-4/13 = ?
Find what's the difference between 3/9 and 4/13.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 13), find the product of numerator of Fraction B and denominator of Fraction A (4 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 13) and rewrite the equation as like the below:
= (3 x 13) - (4 x 9)/(9 x 13)
step 3 Simplify and rewrite the fraction:
= (39 - 36)/117
= 3/117
= 1/39
3/9-4/13 = 1/39
Hence,
3/9 minus 4/13 = 1/39