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The diagrams in the following problems are illustrations of fractions.
When the numerator and denominator are equal, the fraction represents the entire quantity, and its value is 1.
$\frac{\text{nonzero whole number}}{\text{same nonzero whole number}}=1$
Specify the numerator and denominator of the following fractions.
In order to properly translate fractions from word form to number form, or from number form to word form, it is necessary to understand the use of the hyphen .
Write each fraction using whole numbers.
Fifty three-hundredths.
fifty three-hundredths translates as
$\frac{\text{50}}{\text{300}}$
Fifty-three hundredths.
fifty-three hundredths translates as
$\frac{\text{53}}{\text{100}}$
Four hundred seven-thousandths.
four hundred seven-thousandths translates as
$\frac{\text{400}}{\text{7,000}}$
Four hundred seven thousandths.
four hundred seven thousandths translates as
$\frac{\text{407}}{\text{1000}}$
Write each fraction using words.
$\frac{\text{21}}{\text{85}}$ translates as twenty-one eighty-fifths.
$\frac{\text{200}}{\text{3,000}}$ translates as two hundred three-thousandths.
$\frac{\text{203}}{\text{1,000}}$ translates as two hundred three thousandths.
Write the following fractions using whole numbers.
eight hundred seven-thousandths
$\frac{\text{800}}{\mathrm{7,}\text{000}}$
Write the following using words.
$\frac{\text{114}}{\text{3,190}}$
one hundred fourteen three thousand one hundred ninetieths
Name the fraction that describes each shaded portion.
In the following 2 problems, state the numerator and denominator, and write each fraction in words.
The number $\frac{5}{9}$ is used in converting from Fahrenheit to Celsius.
5, 9, five ninths
A dime is $\frac{1}{\text{10}}$ of a dollar.
1, 10, one tenth
For the following 10 problems, specify the numerator and denominator in each fraction.
$\frac{9}{\text{10}}$
$\frac{5}{6}$
$\frac{4}{6}$
$\frac{\text{25}}{\text{25}}$
$\frac{0}{\text{16}}$
For the following 10 problems, write the fractions using whole numbers.
two ninths
forty-seven eighty-thirds
ninety-one one hundred sevenths
$\frac{\text{91}}{\text{107}}$
twenty-two four hundred elevenths
six hundred five eight hundred thirty-fourths
$\frac{\text{605}}{\text{834}}$
three thousand three forty-four ten-thousandths
ninety-two one-millionths
$\frac{\text{92}}{\mathrm{1,}\text{000},\text{000}}$
one three-billionths
For the following 10 problems, write the fractions using words.
$\frac{6}{\text{10}}$
$\frac{\text{10}}{\text{13}}$
$\frac{\text{86}}{\text{135}}$
$\frac{\text{916}}{\text{1,014}}$
nine hundred sixteen one thousand fourteenths
$\frac{\text{501}}{\text{10,001}}$
$\frac{\text{18}}{\text{31,608}}$
eighteen thirty-one thousand six hundred eighths
$\frac{1}{\text{500,000}}$
For the following 4 problems, name the fraction corresponding to the shaded portion.
For the following 4 problems, shade the portion corresponding to the given fraction on the given figure.
$\frac{1}{8}$
$\frac{0}{3}$
State the numerator and denominator and write in words each of the fractions appearing in the statements for the following 10 problems.
A contractor is selling houses on $\frac{1}{4}$ acre lots.
Numerator, 1; denominator, 4; one fourth
The fraction $\frac{\text{22}}{7}$ is sometimes used as an approximation to the number $\pi $ . (The symbol is read “pi.")
The fraction $\frac{4}{3}$ is used in finding the volume of a sphere.
Numerator, 4; denominator, 3; four thirds
One inch is $\frac{1}{\text{12}}$ of a foot.
About $\frac{2}{7}$ of the students in a college statistics class received a “B” in the course.
Numerator, 2; denominator, 7; two sevenths
The probability of randomly selecting a club when drawing one card from a standard deck of 52 cards is $\frac{\text{13}}{\text{52}}$ .
In a box that contains eight computer chips, five are known to be good and three are known to be defective. If three chips are selected at random, the probability that all three are defective is $\frac{1}{\text{56}}$ .
Numerator, 1; denominator, 56; one fifty-sixth
In a room of 25 people, the probability that at least two people have the same birthdate (date and month, not year) is $\frac{\text{569}}{\text{1000}}$ .
The mean (average) of the numbers 21, 25, 43, and 36 is $\frac{\text{125}}{4}$ .
Numerator, 125; denominator, 4; one hundred twenty-five fourths
If a rock falls from a height of 20 meters on Jupiter, the rock will be $\frac{\text{32}}{\text{25}}$ meters high after $\frac{6}{5}$ seconds.
( [link] ) Use the numbers 3 and 11 to illustrate the commutative property of addition.
$3+\text{11}=\text{11}+3=\text{14}$
( [link] ) Find the quotient. $\text{676}\xf7\text{26}$
( [link] ) Write $7\cdot 7\cdot 7\cdot 7\cdot 7$ using exponents.
${7}^{5}$
( [link] ) Find the value of $\frac{8\cdot \left(6+\text{20}\right)}{8}+\frac{3\cdot \left(6+\text{16}\right)}{\text{22}}$ .
( [link] ) Find the least common multiple of 12, 16, and 18.
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