What is 1/3 plus 6 in fraction?
1/3 plus 6 equals to 19/3 in fraction form.
Learn how to find what is 1/3 plus 6 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 6 as a fraction and decimal.
Summary: 1/3 plus 6
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/3 and 6 having identical denominators before starting adding the fractions. Find the LCM of denominators, 3 is the LCM of 3 and 1. Multiply the LCM 3 with all the numerators and denominators of both fractions (1/3 x 3/3) + (6 x 3/3) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 19/3.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 6 by adding fraction to a whole number . The sum in fraction form for 1/3 plus 6/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/3+6 using LCM Method:
What is 1/3 plus 6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 6/1
What to be found?
1/3+6 = ?
Find what's the sum of 1/3 and 6.
step 2 Compare the denominators of fractions 1/3 and 6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 6 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 6:
The LCM of 3 and 1 is 3.
step 4 Write the fractions 1/3 and 6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/3+6
=(1 x 3)/(3 x 3)+(6 x 3)/(1 x 3)
step 5 Simplify the expression to have common denominator:
=1/3+18/3
step 6 Take the common values out and rewrite the above expression like the below:
=1/3 x (1/1+18/1)
=1/3 x (1 + 18)
step 7Simplify the above expression further:
=1/3 x 19
=19/3
1/3+6=19/3
Hence,
1/3 plus 6 equals to 19/3 in fraction.
1/3+6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 6/1
What to be found?
1/3+6 = ?
Find what's the sum of 1/3 and 6.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 1), find the product of numerator of Fraction B and denominator of Fraction A (6 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 1) and rewrite the equation as like the below:
= (1 x 1) + (6 x 3)/(3 x 1)
step 3 Simplify and rewrite the fraction:
= (1 + 18)/3
1/3+6 = 19/3
Hence,
1/3 plus 6 = 19/3