10/9 + 3/4 as a fraction

Learn how to find what is 10/9 plus 3/4 in fraction form just in a few minutes. We have covered the easiest method to write 10/9 + 3/4 as a fraction and decimal.

Summary: 10/9 plus 3/4 = 67/36
Since both fractions have unequal denominators, 10/9 plus 3/4 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 10/9 and fraction 3/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 4. 36 is the LCM of 9 and 4. Multiplying the LCM 36 with the numerators and denominators of both fractions (10/9 x 36/36) + (3/4 x 36/36), and simplify further in order to have the common denominator. So the equivalent fraction for 10/9 is 40/36 and for 3/4 is 27/36. By simplifying this fraction addition 40/36 + 27/36, it becomes 67/36.

CALCULATION: 10/9 + 3/4 as a fraction
10/9 + 3/4 = (?)
10/9 + 3/4 = [(10 x 4) + (3 x 9)]/(9 x 4)
= (40 + 27)/36
= 67/36
10/9 + 3/4 = 67/36
10/9 plus 3/4 as a fraction is 67/36.

where
10/9 is a improper fraction as an addend,
3/4 is a proper fraction as an addend,
67/36 is the sum of 10/9 and 3/4.

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10/9 plus 3/4 as a decimal
10/9 + 3/4 = 67/36
67/36 = 1.8611
(10/9) + (3/4) as a decimal is 1.8611

where
1.8611 is the sum of 10/9 and 3/4.

The below workout with step by step calculation shows how to find the equivalent fraction between 10/9 and 3/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 10/9 plus 3/4 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(10/9) + (3/4) using LCM Method:
What is 10/9 plus 3/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 3/4

What to be found?
(10/9) + (3/4) = ?
Find what's the sum of 10/9 and 3/4.

step 2 Compare the denominators of fractions 10/9 and 3/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 10/9 and 3/4 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 10/9 and 3/4:
The LCM of 9 and 4 is 36.

step 4 Write the fractions 10/9 and 3/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/9 + 3/4
= [(10 x 36)/(9 x 36)] + [(3 x 36)/(4 x 36)]

step 5 Simplify the expression to have common denominator:
= 40/36 + 27/36

step 6 Take the common values out and rewrite the above expression like the below:
= 1/36 x (40/1 + 27/1)
= 1/36 x (40 + 27)

step 7Simplify the above expression further:
= 1/36 x 67
= 67/36
10/9 + 3/4 = 67/36

Hence,
10/9 plus 3/4 as a fraction is 67/36.

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10/9 + 3/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 3/4

What to be found?
(10/9)+(3/4) = ?
Find what's the sum of 10/9 and 3/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 4), find the product of numerator of Fraction B and denominator of Fraction A (3 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 4) and rewrite the equation as like the below:
= (10 x 4) + (3 x 9)/(9 x 4)

step 3 Simplify and rewrite the fraction:
= (40 + 27)/36
10/9 + 3/4 = 67/36

Hence,
10/9 plus 3/4 in fraction is 67/36