Expressing Decimals as a Fraction 2

Years

Year 8

Decimals

Expressing Decimals as a Fraction

Expressing Decimals as a Fraction 2

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Question 1 of 5

1. Question
Convert into fraction form

$0.06$ $0.06$

Write fractions in the form “a/b”
- (3/50)
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Convert Decimal Form to Fraction Form (Examples below)

2 Places (2 Zeros)

3 Places (3 Zeros)

First, move the decimal point to the right of the first non-zero digit

Since the decimal point was moved $2$ $2$ places, the denominator will have $2$ $2$ zeroes, or $100$ $100$

Use the whole number ( $6$ $6$ ) as the numerator and simplify the fraction if needed.

$0.0$ $0.0$ $6$ $6$ $=$ $=$ $\frac{\color{#00880a}6}{\color{#9a00c7}{100}}$

$=$ $=$ $\frac{3}{50}$ $3/50$ Simplify

$\frac{3}{50}$ $3/50$
Question 2 of 5

2. Question
Convert into fraction form

$0.005$ $0.005$

Write fractions in the form “a/b”
- (1/200)
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Convert Decimal Form to Fraction Form (Examples below)

2 Places (2 Zeros)

3 Places (3 Zeros)

First, move the decimal point to the right of the first non-zero digit

Since the decimal point was moved $3$ $3$ places, the denominator will have $3$ $3$ zeroes, or $1000$ $1000$

Use the whole number ( $5$ $5$ ) as the numerator and simplify the fraction if needed.

$0.00$ $0.00$ $5$ $5$ $=$ $=$ $\frac{\color{#00880a}5}{\color{#9a00c7}{1000}}$

$=$ $=$ $\frac{1}{200}$ $1/200$ Simplify

$\frac{1}{200}$ $1/200$
Question 3 of 5

3. Question
Convert into fraction form

$0.038$ $0.038$

Write fractions in the form “a/b”
- (19/500)
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Convert Decimal Form to Fraction Form (Examples below)

2 Places (2 Zeros)

3 Places (3 Zeros)

First, move the decimal point to the rightmost non-zero digit

Since the decimal point was moved $3$ $3$ places, the denominator will have $3$ $3$ zeroes, or $1000$ $1000$

Use the whole number ( $38$ $38$ ) as the numerator and simplify the fraction if needed.

$0.0$ $0.0$ $38$ $38$ $=$ $=$ $\frac{\color{#00880a}{38}}{\color{#9a00c7}{1000}}$

$=$ $=$ $\frac{19}{500}$ $19/500$ Simplify

$\frac{19}{500}$ $19/500$
Question 4 of 5

4. Question
Convert into a mixed number

$123.64$ $123.64$
- 1. $12 \frac{36}{40}$ $12 36/40$
- 2. $123 \frac{1}{3}$ $123 1/3$
- 3. $123 \frac{60}{40}$ $123 60/40$
- 4. $123 \frac{16}{25}$ $123 16/25$
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A mixed number is a whole number combined with a fraction.

Example: $1 \frac{1}{2}$ $1 1/2$

First, separate the whole number from the decimal.

$Whole number$ $\text(Whole number)$ $=$ $=$ $123$ $123$

$Decimal$ $\text(Decimal)$ $=$ $=$ $0.64$ $0.64$

For the decimal value, move the decimal point to the rightmost non-zero digit

The decimal point was moved $2$ $2$ places, so the denominator of the fraction will have $2$ $2$ zeroes, or $100$ $100$ .

Use the non-zero digit ( $64$ $64$ ) as the numerator and simplify the fraction if needed.

$0.64$ $=$ $=$ $\frac{\color{#00880a}{64}}{\color{#9a00c7}{100}}$

$=$ $=$ $\frac{16}{25}$ $16/25$ Simplify

Finally, combine the whole number and the fraction.

$123.64$ $=$ $=$ $\color{#004ec4}{123} \frac{\color{#00880a}{16}}{\color{#9a00c7}{25}}$

$123 \frac{16}{25}$ $123 16/25$
Question 5 of 5

5. Question
Convert into a mixed number

$52.075$ $52.075$
- 1. $52 \frac{3}{40}$ $52 3/40$
- 2. $52 \frac{75}{100}$ $52 75/100$
- 3. $52 \frac{20}{50}$ $52 20/50$
- 4. $25 \frac{70}{50}$ $25 70/50$
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A mixed number is a whole number combined with a fraction.

Example: $1 \frac{1}{2}$ $1 1/2$

First, separate the whole number from the decimal.

$Whole number$ $\text(Whole number)$ $=$ $=$ $52$ $52$

$Decimal$ $\text(Decimal)$ $=$ $=$ $0.075$ $0.075$

For the decimal value, move the decimal point to the rightmost non-zero digit

The decimal point was moved $3$ $3$ places, so the denominator of the fraction will have $3$ $3$ zeroes, or $1000$ $1000$ .

Use the non-zero digit ( $75$ $75$ ) as the numerator and simplify the fraction if needed.

$0.075$ $=$ $=$ $\frac{\color{#00880a}{75}}{\color{#9a00c7}{1000}}$

$=$ $=$ $\frac{3}{40}$ $3/40$ Simplify

Finally, combine the whole number and the fraction.

$52.075$ $=$ $=$ $\color{#004ec4}{52} \frac{\color{#00880a}{3}}{\color{#9a00c7}{40}}$

$52 \frac{3}{40}$ $52 3/40$

Expressing Decimals as a Fraction 2

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Quiz summary

Information

1. Question

Hint

Correct!

2 Places (2 Zeros)

3 Places (3 Zeros)

2. Question

Hint

Well Done!

2 Places (2 Zeros)

3 Places (3 Zeros)

3. Question

Hint

Excellent!

2 Places (2 Zeros)

3 Places (3 Zeros)

4. Question

Hint

Correct!

5. Question

Hint

Keep Going!

Quizzes

$0.0$ $0.0$ $6$ $6$	$=$ $=$	$\frac{\color{#00880a}6}{\color{#9a00c7}{100}}$

	$=$ $=$	$\frac{3}{50}$ $3/50$	Simplify

$0.00$ $0.00$ $5$ $5$	$=$ $=$	$\frac{\color{#00880a}5}{\color{#9a00c7}{1000}}$

	$=$ $=$	$\frac{1}{200}$ $1/200$	Simplify

$0.0$ $0.0$ $38$ $38$	$=$ $=$	$\frac{\color{#00880a}{38}}{\color{#9a00c7}{1000}}$

	$=$ $=$	$\frac{19}{500}$ $19/500$	Simplify

$Whole number$ $\text(Whole number)$	$=$ $=$	$123$ $123$
$Decimal$ $\text(Decimal)$	$=$ $=$	$0.64$ $0.64$

$0.64$	$=$ $=$	$\frac{\color{#00880a}{64}}{\color{#9a00c7}{100}}$

	$=$ $=$	$\frac{16}{25}$ $16/25$	Simplify

$Whole number$ $\text(Whole number)$	$=$ $=$	$52$ $52$
$Decimal$ $\text(Decimal)$	$=$ $=$	$0.075$ $0.075$

$0.075$	$=$ $=$	$\frac{\color{#00880a}{75}}{\color{#9a00c7}{1000}}$

	$=$ $=$	$\frac{3}{40}$ $3/40$	Simplify