Expressing Decimals as a Fraction 2

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Year 10

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

$0.06$

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 $2$ places, the denominator will have $2$ zeroes, or $100$

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

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

$=$ $3/50$ Simplify

$3/50$
Question 2 of 5

2. Question
Convert into fraction form

$0.005$

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 $3$ places, the denominator will have $3$ zeroes, or $1000$

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

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

$=$ $1/200$ Simplify

$1/200$
Question 3 of 5

3. Question
Convert into fraction form

$0.038$

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 $3$ places, the denominator will have $3$ zeroes, or $1000$

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

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

$=$ $19/500$ Simplify

$19/500$
Question 4 of 5

4. Question
Convert into a mixed number

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

Example: $1 1/2$

First, separate the whole number from the decimal.

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

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

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

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

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

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

$=$ $16/25$ Simplify

Finally, combine the whole number and the fraction.

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

$123 16/25$
Question 5 of 5

5. Question
Convert into a mixed number

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

Example: $1 1/2$

First, separate the whole number from the decimal.

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

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

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

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

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

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

$=$ $3/40$ Simplify

Finally, combine the whole number and the fraction.

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

$52 3/40$

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

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

	$=$	$3/50$	Simplify

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

	$=$	$1/200$	Simplify

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

	$=$	$19/500$	Simplify

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

	$=$	$16/25$	Simplify

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

	$=$	$3/40$	Simplify

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

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