How do you simplify 512+23?

Question

Bryce Barry · Accepted Answer

Step 1  To simplify  512+23,  we should first modify the fractions so that they have common denominator.  As 3 is factor 12, the GCD of denominators 12 and 3 is 12 and  512+23=512+2×43×4  =512+812=1312=12+112  =1212+112=1112

Sam Jensen · Accepted Answer

Step 1
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
$L C D (\frac{5}{12}, \frac{2}{3}) = 12$
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.
$(\frac{5}{12} \times \frac{1}{1}) (\frac{2}{3} \times \frac{4}{4}) = ?$
Complete the multiplication and the equation becomes
$\frac{5}{12} + \frac{8}{12} = ?$
The two fractions now have like denominators so you can add the numerators.
Then:
$\frac{5 + 8}{12} = \frac{13}{12}$
This fraction cannot be reduced.
The fraction
$\frac{13}{12}$
is the same as
$13 \div 12$
Convert to a mixed number using long division for $13 \div 12 = 1 R 1$ , so
$\frac{13}{12} = 1 \frac{1}{12}$
Therefore:
$\frac{5}{12} + \frac{2}{3} = 1 \frac{1}{12}$

How do you simplify \frac{5}{12}+\frac{2}{3}?

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