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find the sum. simplify if necessary. \\(\frac{8}{10} + \frac{1}{2} = ?\…

Question

find the sum. simplify if necessary. \\(\frac{8}{10} + \frac{1}{2} = ?\frac{square}{square}\\) enter the whole number.

Explanation:

Step1: Find common denominator

The common denominator of 10 and 2 is 10. Rewrite $\frac{1}{2}$ with denominator 10:
$\frac{1}{2} = \frac{1\times5}{2\times5} = \frac{5}{10}$

Step2: Add the fractions

Add the numerators over the common denominator:
$\frac{8}{10} + \frac{5}{10} = \frac{8+5}{10} = \frac{13}{10}$

Step3: Convert to mixed number

Split the improper fraction into whole and fractional parts:
$\frac{13}{10} = \frac{10+3}{10} = 1 + \frac{3}{10}$

Answer:

Whole number: $1$, Fraction: $\frac{3}{10}$ (Combined: $1\frac{3}{10}$)