What is 7/9 + 10 in fraction?
7/9 + 10 equals to 97/9 in fraction form.
Learn how to find what is 7/9 plus 10 in fraction form just in a few minutes. We have covered the easiest method to write 7/9 + 10 as a fraction and decimal.
Summary: 7/9 plus 10 = 97/9
Since both fractions have unequal denominators, 7/9 plus 10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/9 and fraction 10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 1. 9 is the LCM of 9 and 1. Multiplying the LCM 9 with the numerators and denominators of both fractions (7/9 x 9/9) + (10 x 9/9), and simplify further in order to have the common denominator. So the equivalent fraction for 7/9 is 7/9 and for 10 is 90/9. By simplifying this fraction addition 7/9 + 90/9, it becomes 97/9.
The below workout with step by step calculation shows how to find the equivalent fraction between 7/9 and 10 by adding fraction to a whole number . The sum in fraction form for 7/9 plus 10/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(7/9) + (10) using LCM Method:
What is 7/9 plus 10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 10/1
What to be found?
(7/9) + (10) = ?
Find what's the sum of 7/9 and 10.
step 2 Compare the denominators of fractions 7/9 and 10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/9 and 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 7/9 and 10:
The LCM of 9 and 1 is 9.
step 4 Write the fractions 7/9 and 10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/9 + 10
= [(7 x 9)/(9 x 9)] + [(10 x 9)/(1 x 9)]
step 5 Simplify the expression to have common denominator:
= 7/9 + 90/9
step 6 Take the common values out and rewrite the above expression like the below:
= 1/9 x (7/1 + 90/1)
= 1/9 x (7 + 90)
step 7Simplify the above expression further:
= 1/9 x 97
= 97/9
7/9 + 10 = 97/9
Hence,
7/9 plus 10 as a fraction is 97/9.
7/9 + 10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 10/1
What to be found?
(7/9)+(10) = ?
Find what's the sum of 7/9 and 10.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 1), find the product of numerator of Fraction B and denominator of Fraction A (10 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 1) and rewrite the equation as like the below:
= (7 x 1) + (10 x 9)/(9 x 1)
step 3 Simplify and rewrite the fraction:
= (7 + 90)/9
7/9 + 10 = 97/9
Hence,
7/9 plus 10 in fraction is 97/9