The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(12/13, 2/7) = 91
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(12/13×7/7)+(2/7×13/13)=?
Complete the multiplication and the equation becomes
84/91+26/91=?
The two fractions now have like denominators so you can add the numerators.
Answers & Comments
Answer:
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(12/13, 2/7) = 91
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(12/13×7/7)+(2/7×13/13)=?
Complete the multiplication and the equation becomes
84/91+26/91=?
The two fractions now have like denominators so you can add the numerators.
Then:
84+26/91=110/91
This fraction cannot be reduced.
The fraction
110/91
is the same as
110÷91
Convert to a mixed number using
long division for 110 ÷ 91 = 1R19, so
110/91=1 19/91
Therefore:
12/13+2/7=1 19/91
Solution by Formulas
Apply the fractions formula for addition, to
12/13+2/7
and solve
(12×7)+(2×13)/13×7
=84+26/91
=110/91
Convert to a mixed number using
long division for 110 ÷ 91 = 1R19, so
110/91=1 19/91
Therefore:
12/13+2/7=1 19/91