Verified answer

FRACTIONS

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[tex]\sf 1.) \: 15 \frac{1}{2} + \frac{3}{4} = n[/tex]

Convert the fraction into an improper fraction

[tex]\sf \frac{31}{2} + \frac{3}{4} [/tex]

Find the equivalent fraction by multiplying to make the denominators the same

[tex]\sf \frac{31 \: \times \: 2}{2 \: \times \: 2} + \frac{3 \: \times \: 1}{4 \: \times \: 1} [/tex]

[tex]\sf \frac{62}{4} + \frac{3}{4} [/tex]

Add the fractions

[tex]\sf \frac{62 \: + \: 3}{4} [/tex]

[tex]\sf \frac{65}{4} [/tex]

Simplify the fraction by converting it to a mixed fraction

[tex]\sf 16 \: \frac{1}{4} [/tex]

↬ Hence, the value of n is A. 16 1/4

[tex]\sf 2.) \: 12 \frac{8}{10} - \frac{4}{10} [/tex]

Convert the fraction into an improper fraction

[tex]\sf \frac{128}{10} - \frac{4}{10} [/tex]

Since the fractions are already similar fractions we can subtract them

[tex]\sf \frac{124}{10}[/tex]

Simplify the fraction by converting it to a mixed fraction

[tex]\sf 12\frac{2}{5}[/tex]

↬ Hence, the difference is 12 2/5