What is 1/3 plus 1/10 in fraction?
1/3 plus 1/10 equals to 13/30 in fraction form.
1/3 + 1/10 in fraction form
Learn how to find what is 1/3 plus 1/10 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 1/10 as a fraction and decimal.
Summary: 1/3 plus 1/10
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/3 and 1/10 having identical denominators before starting adding the fractions. Find the LCM of denominators, 30 is the LCM of 3 and 10. Multiply the LCM 30 with all the numerators and denominators of both fractions (1/3 x 30/30) + (1/10 x 30/30) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 13/30.
1/3+1/10 as a fraction
1/3 + 1/10 = (?)
1/3 + 1/10 = [(1 x 10) + (1 x 3)]/(3 x 10)
= (10 + 3)/30
= 13/30
1/3 + 1/10 = 13/30
1/3 plus 1/10 as a fraction is 13/30.
where
1/3 is a fraction as an addend,
1/10 is a fraction as an addend,
13/30 is the sum of 1/3 and 1/10.
1/3 plus 1/10 as a decimal
1/3 + 1/10 = 13/30
13/30 = 0.4333
1/3+1/10 as a decimal is 0.4333
where
0.4333 is the sum of 1/3 and 1/10.
How to find 1/3+1/10 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 1/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 1/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/3+1/10 using LCM Method:
What is 1/3 plus 1/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 1/10
What to be found?
1/3+1/10 = ?
Find what's the sum of 1/3 and 1/10.
step 2 Compare the denominators of fractions 1/3 and 1/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 1/10 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 1/3 and 1/10:
The LCM of 3 and 10 is 30.
step 4 Write the fractions 1/3 and 1/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/3+1/10
=(1 x 30)/(3 x 30)+(1 x 30)/(10 x 30)
step 5 Simplify the expression to have common denominator:
=10/30+3/30
step 6 Take the common values out and rewrite the above expression like the below:
=1/30 x (10/1+3/1)
=1/30 x (10 + 3)
step 7Simplify the above expression further:
=1/30 x 13
=13/30
1/3+1/10=13/30
Hence,
1/3 plus 1/10 equals to 13/30 in fraction.
1/3+1/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 1/10
What to be found?
1/3+1/10 = ?
Find what's the sum of 1/3 and 1/10.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 10), find the product of numerator of Fraction B and denominator of Fraction A (1 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 10) and rewrite the equation as like the below:
= (1 x 10) + (1 x 3)/(3 x 10)
step 3 Simplify and rewrite the fraction:
= (10 + 3)/30
1/3+1/10 = 13/30
Hence,
1/3 plus 1/10 = 13/30