Answer:
Answer:
53/12+28/3=13/34
Solution with Steps
53/12+28/3=?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(53/12, 28/3) = 12
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.
(53/12×1/1)+(28/3×4/4)=?
Complete the multiplication and the equation becomes
53/12+112/12=?
The two fractions now have like denominators so you can add the numerators.
Then:
53+112/12=165/12
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 165 and 12 using
GCF(165,12) = 3
165÷3/12÷3=55/4
The fraction
55/4
is the same as
55÷4
Convert to a mixed number using
long division for 55 ÷ 4 = 13R3, so
55/4=13 3/4
Therefore:
53/12+28/3=13/34
Solution by Formulas
Apply the fractions formula for addition, to
53/12+28/3
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(495,36) = 9
49/5÷93/6÷9=554
Convert to a mixed number using
long division for 55 ÷ 4 = 13 R3, so
554=1334
Therefore:
53/12+28/3=13 3/4
So I Believe 13 3/4 or 55/4
I hope this isn't wrong.
