What is 3/5 plus 3/10 in fraction?
3/5 plus 3/10 equals to 9/10 in fraction form.
3/5 + 3/10 in fraction form
Learn how to find what is 3/5 plus 3/10 in fraction form just in a few minutes. We have covered the easiest method to write 3/5 + 3/10 as a fraction and decimal.
Summary: 3/5 plus 3/10
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/5 and 3/10 having identical denominators before starting adding the fractions. Find the LCM of denominators, 10 is the LCM of 5 and 10. Multiply the LCM 10 with all the numerators and denominators of both fractions (3/5 x 10/10) + (3/10 x 10/10) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 9/10.
3/5+3/10 as a fraction
3/5 + 3/10 = (?)
3/5 + 3/10 = [(3 x 10) + (3 x 5)]/(5 x 10)
= (30 + 15)/50
= 45/50
= (5 x 9)/(5 x 10)
= 9/10
3/5 + 3/10 = 9/10
3/5 plus 3/10 as a fraction is 9/10.
where
3/5 is a fraction as an addend,
3/10 is a fraction as an addend,
9/10 is the sum of 3/5 and 3/10.
3/5 plus 3/10 as a decimal
3/5 + 3/10 = 9/10
9/10 = 0.9
3/5+3/10 as a decimal is 0.9
where
0.9 is the sum of 3/5 and 3/10.
How to find 3/5+3/10 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 3/5 and 3/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/5 plus 3/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
3/5+3/10 using LCM Method:
What is 3/5 plus 3/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 3/10
What to be found?
3/5+3/10 = ?
Find what's the sum of 3/5 and 3/10.
step 2 Compare the denominators of fractions 3/5 and 3/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/5 and 3/10 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 3/5 and 3/10:
The LCM of 5 and 10 is 10.
step 4 Write the fractions 3/5 and 3/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/5+3/10
=(3 x 10)/(5 x 10)+(3 x 10)/(10 x 10)
step 5 Simplify the expression to have common denominator:
=6/10+3/10
step 6 Take the common values out and rewrite the above expression like the below:
=1/10 x (6/1+3/1)
=1/10 x (6 + 3)
step 7Simplify the above expression further:
=1/10 x 9
=9/10
3/5+3/10=9/10
Hence,
3/5 plus 3/10 equals to 9/10 in fraction.
3/5+3/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 3/10
What to be found?
3/5+3/10 = ?
Find what's the sum of 3/5 and 3/10.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 10), find the product of numerator of Fraction B and denominator of Fraction A (3 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 10) and rewrite the equation as like the below:
= (3 x 10) + (3 x 5)/(5 x 10)
step 3 Simplify and rewrite the fraction:
= (30 + 15)/50
= 45/50
= 9/10
3/5+3/10 = 9/10
Hence,
3/5 plus 3/10 = 9/10