What is 2/3 minus 3/13 in fraction?
2/3 minus 3/13 equals to 17/39 in fraction form.
Learn how to find what is 2/3 minus 3/13 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 - 3/13 as a fraction and decimal.
Summary: 2/3 minus 3/13
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/3 and 3/13 having identical denominators before starting adding the fractions. Find the LCM of denominators, 39 is the LCM of 3 and 13. Multiply the LCM 39 with all the numerators and denominators of both fractions (2/3 x 39/39) - (3/13 x 39/39) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 17/39.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/13 from 2/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/3 minus 3/13.
1. LCM method
2. Cross multiplication method.
2/3-3/13 using LCM Method:
What is 2/3 minus 3/13 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 3/13
What to be found?
2/3-3/13 = ?
Find what's the difference between 2/3 and 3/13.
step 2 Compare the denominators of fractions 2/3 and 3/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/3 and 3/13 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 2/3 and 3/13:
The LCM of 3 and 13 is 39.
step 4 Write the fractions 2/3 and 3/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/3-3/13
=(2 x 39)/(3 x 39)-(3 x 39)/(13 x 39)
step 5 Simplify the expression to have common denominator:
=26/39-9/39
step 6 Take the common values out and rewrite the above expression like the below:
=1/39 x (26/1-9/1)
=1/39 x (26 - 9)
step 7Simplify the above expression further:
=1/39 x 17
=17/39
2/3-3/13=17/39
Hence,
2/3 minus 3/13 equals to 17/39 in fraction.
2/3-3/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 3/13
What to be found?
2/3-3/13 = ?
Find what's the difference between 2/3 and 3/13.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 13), find the product of numerator of Fraction B and denominator of Fraction A (3 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 13) and rewrite the equation as like the below:
= (2 x 13) - (3 x 3)/(3 x 13)
step 3 Simplify and rewrite the fraction:
= (26 - 9)/39
2/3-3/13 = 17/39
Hence,
2/3 minus 3/13 = 17/39