7/6 plus 5/9 as a fraction
7/6 + 5/9 as a fraction provides the detailed information about what is 7/6 plus 5/9 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
7/6+5/9 equals to
7/6 + 5/9 = (?)
7/6 + 5/9 = [(7 x 9) + (5 x 6)]/(6 x 9)
= (63 + 30)/54
= 93/54
= (3 x 31)/(3 x 18)
= 31/18
7/6 + 5/9 = 31/18
7/6 plus 5/9 is equal to 31/18
where
7/6 is a fraction as an addend,
5/9 is a fraction as an addend,
31/18 is the sum of 7/6 and 5/9.
7/6 plus 5/9 as a decimal
7/6 + 5/9 = 31/18
31/18 = 1.7222
7/6+5/9 as a decimal is 1.7222
where
1.7222 is the sum of 7/6 and 5/9.
How-to: 7/6 + 5/9 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 7/6 plus 5/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 5/9
What to be found?
7/6+5/9 = ?
Find what's the sum of 7/6 and 5/9.
step 2 Compare the denominators of fractions 7/6 and 5/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/6 and 5/9 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 7/6 and 5/9:
The LCM of 6 and 9 is 18.
step 4 Write the fractions 7/6 and 5/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/6+5/9
=(7 x 18)/(6 x 18)+(5 x 18)/(9 x 18)
step 5 Simplify the expression to have common denominator:
=21/18+10/18
step 6 Take the common values out and rewrite the above expression like the below:
=1/18 x (21/1+10/1)
=1/18 x (21 + 10)
step 7Simplify the above expression further:
=1/18 x 31
=31/18
7/6+5/9=31/18
Hence,
7/6 plus 5/9 equals to 31/18 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 5/9
What to be found?
7/6+5/9 = ?
Find what's the sum of 7/6 and 5/9.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 9), find the product of numerator of Fraction B and denominator of Fraction A (5 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 9) and rewrite the equation as like the below:
= (7 x 9) + (5 x 6)/(6 x 9)
step 3 Simplify and rewrite the fraction:
= (63 + 30)/54
= 93/54
= 31/18
7/6+5/9 = 31/18
Hence,
7/6 plus 5/9 = 31/18
