7/10 plus 6/9 as a fraction
7/10 + 6/9 as a fraction provides the detailed information about what is 7/10 plus 6/9 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
7/10+6/9 equals to
7/10 + 6/9 = (?)
7/10 + 6/9 = [(7 x 9) + (6 x 10)]/(10 x 9)
= (63 + 60)/90
= 123/90
= (3 x 41)/(3 x 30)
= 41/30
7/10 + 6/9 = 41/30
7/10 plus 6/9 is equal to 41/30
where
7/10 is a fraction as an addend,
6/9 is a fraction as an addend,
41/30 is the sum of 7/10 and 6/9.
7/10 plus 6/9 as a decimal
7/10 + 6/9 = 41/30
41/30 = 1.3667
7/10+6/9 as a decimal is 1.3667
where
1.3667 is the sum of 7/10 and 6/9.
How-to: 7/10 + 6/9 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 7/10 plus 6/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/10
Fraction B: 6/9
What to be found?
7/10+6/9 = ?
Find what's the sum of 7/10 and 6/9.
step 2 Compare the denominators of fractions 7/10 and 6/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/10 and 6/9 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 7/10 and 6/9:
The LCM of 10 and 9 is 90.
step 4 Write the fractions 7/10 and 6/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/10+6/9
=(7 x 90)/(10 x 90)+(6 x 90)/(9 x 90)
step 5 Simplify the expression to have common denominator:
=63/90+60/90
step 6 Take the common values out and rewrite the above expression like the below:
=1/90 x (63/1+60/1)
=1/90 x (63 + 60)
step 7Simplify the above expression further:
=1/90 x 123
= 123/90
=41/30
7/10+6/9=41/30
Hence,
7/10 plus 6/9 equals to 41/30 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/10
Fraction B: 6/9
What to be found?
7/10+6/9 = ?
Find what's the sum of 7/10 and 6/9.
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 (6 x 10), and find the product of both denominators of Fraction A and Fraction B (10 x 9) and rewrite the equation as like the below:
= (7 x 9) + (6 x 10)/(10 x 9)
step 3 Simplify and rewrite the fraction:
= (63 + 60)/90
= 123/90
= 41/30
7/10+6/9 = 41/30
Hence,
7/10 plus 6/9 = 41/30
