Mixed and Improper Fractions 1

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Question 1 of 3

Convert this fraction to an improper fraction

1 \frac{3}{4}

$1 3/4$

Write fractions in the format “a/b”

(7/4)

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Transforming a Fraction from Mixed to Improper

=

$=$

\frac{(c \times A) + b}{c}

$\frac{(\color{#9a00c7}{c}\times\color{#00880A}{A})+\color{#007DDC}{b}}{\color{#9a00c7}{c}}$

An Improper Fraction is a fraction where the numerator is larger than the denominator.

Multiply the denominator by the whole number and then add the numerator

$\color{#00880A}{1}\frac{\color{#007DDC}{3}}{\color{#9a00c7}{4}}$	$=$ $=$	$\frac{(\color{#9a00c7}{4}\times\color{#00880A}{1})+\color{#007DDC}{3}}{\color{#9a00c7}{4}}$

	$=$ $=$	$\frac{4+3}{4}$

	$=$ $=$	$\frac{7}{4}$

\frac{7}{4}

$7/4$

Question 2 of 3

Convert this fraction to an improper fraction

6 \frac{2}{3}

$6 2/3$

Write fractions in the format “a/b”

(20/3)

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Transforming a Fraction from Mixed to Improper

=

$=$

\frac{(c \times A) + b}{c}

$\frac{(\color{#9a00c7}{c}\times\color{#00880A}{A})+\color{#007DDC}{b}}{\color{#9a00c7}{c}}$

An Improper Fraction is a fraction where the numerator is larger than the denominator.

Multiply the denominator by the whole number and then add the numerator

$\color{#00880A}{6}\frac{\color{#007DDC}{2}}{\color{#9a00c7}{3}}$	$=$ $=$	$\frac{(\color{#9a00c7}{3}\times\color{#00880A}{6})+\color{#007DDC}{2}}{\color{#9a00c7}{3}}$

	$=$ $=$	$\frac{18+2}{3}$

	$=$ $=$	$\frac{20}{3}$

\frac{20}{3}

$20/3$

Question 3 of 3

Convert this fraction to a mixed fraction

\frac{19}{5}

$19/5$

1. $3 \frac{4}{5}$ $3 4/5$
2. $4 \frac{3}{5}$ $4 3/5$
3. $5 \frac{3}{4}$ $5 3/4$
4. $2 \frac{1}{3}$ $2 1/3$

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Transforming an Improper to Mixed Fraction

\frac{b}{c} = Q \frac{R}{c}

$\frac{\color{#007DDC}{b}}{\color{#9a00c7}{c}}=\color{#00880A}{Q}\frac{\color{#e65021}{R}}{\color{#9a00c7}{c}}$

where $Q$ $Q$ is the quotient of

(

$($ $b$ $b$

\div

$-:$ $c$ $c$

)

$)$ and $R$ $R$ is the remainder

A Mixed Number or Mixed Fraction consists of a whole number and a fraction.

First, divide the numerator by the denominator

Arrange the numbers for long division

5

$5$ goes into

19

$19$ three times. So write

3

$3$ above the line.

Multiply

3

$3$ to

5

$5$ and write the answer below

19

$19$

Subtract

15

$15$ from

19

$19$ and write the answer one line below

Since

5

$5$ cannot go into

4

$4$ anymore, $4$ $4$ is left as the Remainder and $3$ $3$ is the Quotient

Substitute values into the given formula

$\frac{\color{#007DDC}{b}}{\color{#9a00c7}{c}}$	$=$ $=$	$\color{#00880A}{Q}\frac{\color{#e65021}{R}}{\color{#9a00c7}{c}}$

$\frac{\color{#007DDC}{19}}{\color{#9a00c7}{5}}$	$=$ $=$	$\color{#00880A}{3}\frac{\color{#e65021}{4}}{\color{#9a00c7}{5}}$

3 \frac{4}{5}

$3 4/5$

Mixed and Improper Fractions 1

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Quiz summary

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1. Question

Hint

Fantastic!

Transforming a Fraction from Mixed to Improper

2. Question

Hint

Correct!

Transforming a Fraction from Mixed to Improper

3. Question

Hint

Nice Job!

Transforming an Improper to Mixed Fraction

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