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In this lesson, we'll learn how to write non-unit fractions in words.

For example, let's consider the following fraction:

\dfrac{\color{red}3}{\color{blue}8}

We can use our usual procedure to write this fraction in words:

  • The numerator is {\color{red}3}, so we write "three":

    \qquad "three"

  • The denominator is {\color{blue}8}, and since the numerator is greater than 1, so we write "eighths" (plural):

    \qquad "three eighths"

  • Since there is no hyphen, we place a hyphen in between the two words:

    \qquad "three-eighths"

Therefore, the fraction \dfrac38 written in words is three-eighths.

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Let's now consider the fraction \dfrac{\color{red}5}{\color{blue}27}.

We write the fraction in words as follows:

  • The numerator is {\color{red}5}, so we write "five":

    \qquad "five"

  • The denominator is {\color{blue}27}, and since the numerator is greater than 1, so we write "twenty-sevenths":

    \qquad "five twenty-sevenths"

  • Since there is already a hyphen, we do nothing else.

Therefore, the fraction \dfrac{5}{27} written in words is five twenty-sevenths.

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Write the fraction \dfrac{4}{15} in words.

EXPLANATION

Let's write the fraction \dfrac{\color{red}4}{\color{blue}15} in words:

  • The numerator is {\color{red}4}, so we write "four":

    \qquad "four"

  • The denominator is {\color{blue}15} and the numerator is greater than 1, so we write "fifteenths":

    \qquad "four fifteenths"

  • Since there is no hyphen, we place a hyphen in between the two words:

    \qquad "four-fifteenths"

Therefore, the fraction \dfrac{4}{15} written in words is four-fifteenths.

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Write the fraction 59 in words.

a
five-nines
b
five-ninths
c
nine fifths
d
nine-fifths
e
nine-fifth

Write the fraction 817 in words.

a
eight seventeens
b
eight-seventeenths
c
seventeen eighths
d
eight seventeen
e
seventeen -eighths

In words, which fraction is represented by the model above?

EXPLANATION

The line is split into {\color{blue}6} parts, and the number is located {\color{red}5} steps from 0 (left to right). So, the fraction model shows \dfrac{\color{red}5}{\color{blue}6}, which we write in words as follows:

  • The numerator is {\color{red}5}, so we write "five":

    \qquad "five"

  • The denominator is {\color{blue}6} and the numerator is greater than 1, so we write "sixths":

    \qquad "five sixths"

  • Since there is no hyphen, we place a hyphen in between the two words:

    \qquad "five-sixths"

Therefore, the fraction \dfrac56 written in words is five-sixths.

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In words, which fraction is represented by the model above?

a
five-fifths
b
five fourths
c
four-fifths
d
five-fourths
e
four fourths

In words, which fraction is represented by the model above?

a
five-eighth
b
eight-fifths
c
eight-fives
d
five eighth
e
five-eighths

Write the fraction \dfrac{83}{90} in words.

EXPLANATION

Let's write the fraction \dfrac{\color{red}83}{\color{blue}90} in words:

  • The numerator is {\color{red}83}, so we write "eighty-three":

    \qquad "eighty-three"

  • The denominator is {\color{blue}90} and the numerator is greater than 1, so we write "ninetieths":

    \qquad "eighty-three ninetieths"

  • There is a hyphen, so we do nothing else.

Therefore, the fraction \dfrac{83}{90} written in words is eighty-three ninetieths.

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Write the fraction 39100 in words.

a
thirty nine hundred
b
thirty nine one-hundred
c
thirty nine one-hundredth
d
thirty-nine hundredths
e
ninety three hundredth

Write the fraction 726 in words.

a
seven twenty-six
b
seven two-six
c
seven twenty-sixths
d
seven twenty sixty
e
seven sixty-seconds
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