6/7 plus 4/6 as a fraction
6/7 + 4/6 as a fraction provides the detailed information about what is 6/7 plus 4/6 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
6/7+4/6 equals to
6/7 + 4/6 = (?)
6/7 + 4/6 = [(6 x 6) + (4 x 7)]/(7 x 6)
= (36 + 28)/42
= 64/42
= (2 x 32)/(2 x 21)
= 32/21
6/7 + 4/6 = 32/21
6/7 plus 4/6 is equal to 32/21
where
6/7 is a fraction as an addend,
4/6 is a fraction as an addend,
32/21 is the sum of 6/7 and 4/6.
6/7 plus 4/6 as a decimal
6/7 + 4/6 = 32/21
32/21 = 1.5238
6/7+4/6 as a decimal is 1.5238
where
1.5238 is the sum of 6/7 and 4/6.
How-to: 6/7 + 4/6 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 6/7 plus 4/6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/7
Fraction B: 4/6
What to be found?
6/7+4/6 = ?
Find what's the sum of 6/7 and 4/6.
step 2 Compare the denominators of fractions 6/7 and 4/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/7 and 4/6 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 6/7 and 4/6:
The LCM of 7 and 6 is 42.
step 4 Write the fractions 6/7 and 4/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=6/7+4/6
=(6 x 42)/(7 x 42)+(4 x 42)/(6 x 42)
step 5 Simplify the expression to have common denominator:
=36/42+28/42
step 6 Take the common values out and rewrite the above expression like the below:
=1/42 x (36/1+28/1)
=1/42 x (36 + 28)
step 7Simplify the above expression further:
=1/42 x 64
= 64/42
=32/21
6/7+4/6=32/21
Hence,
6/7 plus 4/6 equals to 32/21 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/7
Fraction B: 4/6
What to be found?
6/7+4/6 = ?
Find what's the sum of 6/7 and 4/6.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 6), find the product of numerator of Fraction B and denominator of Fraction A (4 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 6) and rewrite the equation as like the below:
= (6 x 6) + (4 x 7)/(7 x 6)
step 3 Simplify and rewrite the fraction:
= (36 + 28)/42
= 64/42
= 32/21
6/7+4/6 = 32/21
Hence,
6/7 plus 4/6 = 32/21
