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For Problems 1 and 2, name the suggested fraction.
For problems 3-5, specify the numerator and denominator.
$\frac{5}{\text{12}}$
For problems 6-10, write each fraction using digits.
Three fifths
Sixty-one forty firsts
Two hundred six-thousandths
$\frac{\text{200}}{\mathrm{6,}\text{000}}$
zero tenths
For problems 11-15, write each fraction using words.
$\frac{\text{21}}{\text{38}}$
$\frac{\text{606}}{\text{1431}}$
six hundred six, one thousand four hundred thirty-firsts
$\frac{0}{8}$
For problems 16-18, state each numerator and denominator and write each fraction using digits.
One minute is one sixtieth of an hour.
In a box that contains forty-five electronic components, eight are known to be defective. If three components are chosen at random from the box, the probability that all three are defective is fifty-six fourteen thousand one hundred ninetieths.
numerator, 56; denominator, 14,190
About three fifths of the students in a college algebra class received a “B” in the course.
For problems 19 and 20, shade the region corresponding to the given fraction.
$\frac{3}{7}$
For problems 21-29, convert each improper fraction to a mixed number.
$\frac{\text{15}}{2}$
$\frac{\text{121}}{\text{15}}$
$\frac{3}{2}$
$\frac{\text{20}}{5}$
For problems 30-40, convert each mixed number to an improper fraction.
$5\frac{2}{3}$
$\text{18}\frac{1}{3}$
$2\frac{9}{\text{16}}$
$\text{17}\frac{\text{20}}{\text{21}}$
$\frac{\text{377}}{\text{21}}$
$1\frac{7}{8}$
$2\frac{1}{2}$
$2\frac{9}{2}$
Why does $0\frac{1}{\text{12}}$ not qualify as a mixed number?
because the whole number part is zero
Why does 8 qualify as a mixed number?
For problems 43-47, determine if the pairs of fractions are equivalent.
$\frac{8}{9}$ , $\frac{\text{32}}{\text{36}}$
$\frac{3}{\text{14}}$ , $\frac{\text{24}}{\text{110}}$
not equivalent
$2\frac{3}{8}$ , $\frac{\text{38}}{\text{16}}$
$\frac{\text{108}}{\text{77}}$ , $1\frac{5}{\text{13}}$
not equivalent
For problems 48-60, reduce, if possible, each fraction.
$\frac{\text{10}}{\text{25}}$
$\frac{\text{102}}{\text{266}}$
$\frac{\text{18}}{\text{25}}$
$\frac{9}{\text{16}}$
$\frac{\text{24}}{\text{42}}$
$\frac{\text{70}}{\text{136}}$
$\frac{\text{35}}{\text{68}}$
$\frac{\text{182}}{\text{580}}$
$\frac{\text{325}}{\text{810}}$
$\frac{\text{65}}{\text{162}}$
$\frac{\text{250}}{\text{1000}}$
For problems 61-72, determine the missing numerator or denominator.
$\frac{4}{\text{11}}=\frac{?}{\text{99}}$
$\frac{5}{8}=\frac{\text{25}}{?}$
$\frac{4}{\text{15}}=\frac{\text{24}}{?}$
$\frac{0}{5}=\frac{?}{20}$
$\frac{\text{14}}{\text{23}}=\frac{?}{\text{253}}$
$\frac{\text{21}}{\text{22}}=\frac{\text{336}}{?}$
For problems 73-95, perform each multiplication and division.
$\frac{4}{5}\cdot \frac{\text{15}}{\text{16}}$
$\frac{3}{4}$
$\frac{8}{9}\cdot \frac{3}{\text{24}}$
$\frac{1}{\text{10}}\cdot \frac{5}{\text{12}}$
$\frac{1}{\text{24}}$
$\frac{\text{14}}{\text{15}}\cdot \frac{7}{5}$
$\frac{5}{6}\cdot \frac{\text{13}}{\text{22}}\cdot \frac{\text{11}}{\text{39}}$
$\frac{5}{\text{36}}$
$\frac{2}{3}\xf7\frac{\text{15}}{7}\cdot \frac{5}{6}$
$2\frac{4}{9}\xf7\frac{\text{11}}{\text{45}}$
$\frac{8}{\text{15}}\cdot \frac{3}{\text{16}}\cdot \frac{5}{\text{24}}$
$\frac{1}{\text{48}}$
$\frac{8}{\text{15}}\xf73\frac{3}{5}\cdot \frac{9}{\text{16}}$
$\frac{\text{14}}{\text{15}}\xf73\frac{8}{9}\cdot \frac{\text{10}}{\text{21}}$
$\frac{4}{\text{35}}$
$\text{18}\cdot 5\frac{3}{4}$
$3\frac{3}{7}\cdot 2\frac{1}{\text{12}}$
$\frac{\text{50}}{7}=7\frac{1}{7}$
$4\frac{1}{2}\xf72\frac{4}{7}$
$3\frac{5}{\text{16}}\xf72\frac{7}{\text{18}}$
$\text{17}\xf74\frac{1}{4}$
$2\frac{2}{3}\cdot 3\frac{3}{4}$
$0\xf74\frac{1}{8}$
Find $\frac{8}{9}$ of $\frac{\text{27}}{2}$ .
What part of $\frac{3}{8}$ is $\frac{\text{21}}{\text{16}}$ ?
$\frac{7}{2}$ or $3\frac{1}{2}$
What part of $3\frac{1}{5}$ is $1\frac{7}{\text{25}}$ ?
$\frac{7}{\text{20}}$ of what number is $\frac{\text{14}}{\text{35}}$ ?
What part of $4\frac{1}{\text{16}}$ is $3\frac{3}{4}$ ?
$\frac{\text{12}}{\text{13}}$
Find $8\frac{3}{\text{10}}$ of $\text{16}\frac{2}{3}$ .
$\frac{3}{\text{20}}$ of what number is $\frac{\text{18}}{\text{30}}$ ?
4
Find $\frac{1}{3}$ of 0.
Find $\frac{\text{11}}{\text{12}}$ of 1.
$\frac{\text{11}}{\text{12}}$
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