What is 1/3 plus 7 in fraction?
1/3 plus 7 equals to 22/3 in fraction form.
1/3 + 7 in fraction form
Learn how to find what is 1/3 plus 7 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 7 as a fraction and decimal.
Summary: 1/3 plus 7
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/3 and 7 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) + (7 x 3/3) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 22/3.
1/3+7 as a fraction
1/3 + 7 = (?)
1/3 + 7/1 = [(1 x 1) + (7 x 3)]/(3 x 1)
= (1 + 21)/3
= 22/3
1/3 + 7 = 22/3
1/3 plus 7 as a fraction is 22/3.
where
1/3 is a fraction as an addend,
7 is a fraction as an addend,
22/3 is the sum of 1/3 and 7.
1/3 plus 7 as a decimal
1/3 + 7 = 22/3
22/3 = 7.3333
1/3+7 as a decimal is 7.3333
where
7.3333 is the sum of 1/3 and 7.
How to find 1/3+7 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 7 by adding fraction to a whole number . The sum in fraction form for 1/3 plus 7/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/3+7 using LCM Method:
What is 1/3 plus 7 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 7/1
What to be found?
1/3+7 = ?
Find what's the sum of 1/3 and 7.
step 2 Compare the denominators of fractions 1/3 and 7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 7 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 7:
The LCM of 3 and 1 is 3.
step 4 Write the fractions 1/3 and 7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/3+7
=(1 x 3)/(3 x 3)+(7 x 3)/(1 x 3)
step 5 Simplify the expression to have common denominator:
=1/3+21/3
step 6 Take the common values out and rewrite the above expression like the below:
=1/3 x (1/1+21/1)
=1/3 x (1 + 21)
step 7Simplify the above expression further:
=1/3 x 22
=22/3
1/3+7=22/3
Hence,
1/3 plus 7 equals to 22/3 in fraction.
1/3+7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 7/1
What to be found?
1/3+7 = ?
Find what's the sum of 1/3 and 7.
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 (7 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) + (7 x 3)/(3 x 1)
step 3 Simplify and rewrite the fraction:
= (1 + 21)/3
1/3+7 = 22/3
Hence,
1/3 plus 7 = 22/3