dalllc

2022-09-01

Find the sum of the two numbers. Give the numerator and denominator of your answer as an improper fraction in simple form $\frac{17}{42}+3\frac{5}{6}$
Find the difference between the two numbers. Give the numerator and denominator of your answer in simplest form.
$1\frac{1}{12}-\frac{2}{3}$
Determine the product of the fraction. Report the numerator and the denominator of your answer as a proper fraction in its simplest form. The only measured value is in numerator of the second fraction.
$\frac{5}{18}\cdot \frac{13}{19}$
Simplify the quotient. Report the numerator and the denominator of your answer as a fraction in its simplest form.
$\frac{5}{2}÷\frac{11}{3}$

Ufumanaxi

a) $\frac{17}{42}+3\frac{5}{6}\phantom{\rule{0ex}{0ex}}=\frac{17}{42}+\frac{23}{6}$
LCM of 6 and 42 is
$\frac{17+161}{42}\phantom{\rule{0ex}{0ex}}=\frac{178}{42}\phantom{\rule{0ex}{0ex}}=\frac{89}{21}$
numerator=89
denominator=21
b) $1\frac{1}{12}-\frac{2}{3}\phantom{\rule{0ex}{0ex}}=\frac{13}{12}=\frac{2}{3}$
LCM of 3 and 12 is
$\frac{13-8}{12}\phantom{\rule{0ex}{0ex}}=\frac{5}{12}$
numerator=5
denominator=12
c) $\frac{5}{18}×\frac{13}{19}\phantom{\rule{0ex}{0ex}}=\frac{5×13}{18×19}\phantom{\rule{0ex}{0ex}}=\frac{65}{342}$
numerator=65
denominator=342
d) $\frac{5}{2}÷\frac{11}{3}\phantom{\rule{0ex}{0ex}}=\frac{5}{2}×\frac{3}{11}\phantom{\rule{0ex}{0ex}}=\frac{15}{22}$
numerator=15
denominator=12

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