8/9 plus 7/12 as a fraction
8/9 + 7/12 as a fraction provides the detailed information about what is 8/9 plus 7/12 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
8/9+7/12 equals to
8/9 + 7/12 = (?)
8/9 + 7/12 = [(8 x 12) + (7 x 9)]/(9 x 12)
= (96 + 63)/108
= 159/108
= (3 x 53)/(3 x 36)
= 53/36
8/9 + 7/12 = 53/36
8/9 plus 7/12 is equal to 53/36
where
8/9 is a fraction as an addend,
7/12 is a fraction as an addend,
53/36 is the sum of 8/9 and 7/12.
8/9 plus 7/12 as a decimal
8/9 + 7/12 = 53/36
53/36 = 1.4722
8/9+7/12 as a decimal is 1.4722
where
1.4722 is the sum of 8/9 and 7/12.
How-to: 8/9 + 7/12 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 8/9 plus 7/12 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 7/12
What to be found?
8/9+7/12 = ?
Find what's the sum of 8/9 and 7/12.
step 2 Compare the denominators of fractions 8/9 and 7/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/9 and 7/12 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 8/9 and 7/12:
The LCM of 9 and 12 is 36.
step 4 Write the fractions 8/9 and 7/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=8/9+7/12
=(8 x 36)/(9 x 36)+(7 x 36)/(12 x 36)
step 5 Simplify the expression to have common denominator:
=32/36+21/36
step 6 Take the common values out and rewrite the above expression like the below:
=1/36 x (32/1+21/1)
=1/36 x (32 + 21)
step 7Simplify the above expression further:
=1/36 x 53
=53/36
8/9+7/12=53/36
Hence,
8/9 plus 7/12 equals to 53/36 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 7/12
What to be found?
8/9+7/12 = ?
Find what's the sum of 8/9 and 7/12.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 12), find the product of numerator of Fraction B and denominator of Fraction A (7 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 12) and rewrite the equation as like the below:
= (8 x 12) + (7 x 9)/(9 x 12)
step 3 Simplify and rewrite the fraction:
= (96 + 63)/108
= 159/108
= 53/36
8/9+7/12 = 53/36
Hence,
8/9 plus 7/12 = 53/36
