What is 10/9 plus 2/3 in fraction?
10/9 plus 2/3 equals to 16/9 in fraction form.
Learn how to find what is 10/9 plus 2/3 in fraction form just in a few minutes. We have covered the easiest method to write 10/9 + 2/3 as a fraction and decimal.
Summary: 10/9 plus 2/3
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 10/9 and 2/3 having identical denominators before starting adding the fractions. Find the LCM of denominators, 9 is the LCM of 9 and 3. Multiply the LCM 9 with all the numerators and denominators of both fractions (10/9 x 9/9) + (2/3 x 9/9) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 16/9.
The below workout with step by step calculation shows how to find the equivalent fraction between 10/9 and 2/3 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 10/9 plus 2/3 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
10/9+2/3 using LCM Method:
What is 10/9 plus 2/3 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 2/3
What to be found?
10/9+2/3 = ?
Find what's the sum of 10/9 and 2/3.
step 2 Compare the denominators of fractions 10/9 and 2/3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 10/9 and 2/3 are not equal, it is said to be unlike fractions addition.
step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 10/9 and 2/3:
The LCM of 9 and 3 is 9.
step 4 Write the fractions 10/9 and 2/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=10/9+2/3
=(10 x 9)/(9 x 9)+(2 x 9)/(3 x 9)
step 5 Simplify the expression to have common denominator:
=10/9+6/9
step 6 Take the common values out and rewrite the above expression like the below:
=1/9 x (10/1+6/1)
=1/9 x (10 + 6)
step 7Simplify the above expression further:
=1/9 x 16
=16/9
10/9+2/3=16/9
Hence,
10/9 plus 2/3 equals to 16/9 in fraction.
10/9+2/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 2/3
What to be found?
10/9+2/3 = ?
Find what's the sum of 10/9 and 2/3.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 3), find the product of numerator of Fraction B and denominator of Fraction A (2 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 3) and rewrite the equation as like the below:
= (10 x 3) + (2 x 9)/(9 x 3)
step 3 Simplify and rewrite the fraction:
= (30 + 18)/27
= 48/27
= 16/9
10/9+2/3 = 16/9
Hence,
10/9 plus 2/3 = 16/9