Expressing Decimals as a Fraction 1

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Year 10

Decimals

Expressing Decimals as a Fraction

Expressing Decimals as a Fraction 1

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Question 1 of 5

1. Question
Convert into fraction form

$0.9$ $0.9$

Write fractions in the form “a/b”
- (9/10)
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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 $1$ $1$ place, the denominator will have $1$ $1$ zero, or $10$ $10$

Use the whole number ( $9$ $9$ ) as the numerator and simplify the fraction if needed.

$0 .$ $0.$ $9$ $9$ $=$ $=$ $\frac{\color{#00880a}9}{\color{#9a00c7}{10}}$

$\frac{9}{10}$ $9/10$
Question 2 of 5

2. Question
Convert into fraction form

$0.02$ $0.02$

Write fractions in the form “a/b”
- (1/50)
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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 ( $2$ $2$ ) as the numerator and simplify the fraction if needed.

$0.0$ $0.0$ $2$ $2$ $=$ $=$ $\frac{\color{#00880a}2}{\color{#9a00c7}{100}}$

$=$ $=$ $\frac{1}{50}$ $1/50$ Simplify

$\frac{1}{50}$ $1/50$
Question 3 of 5

3. Question
Convert into fraction form

$0.007$ $0.007$

Write fractions in the form “a/b”
- (7/1000)
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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 ( $7$ $7$ ) as the numerator and simplify the fraction if needed.

$0.00$ $0.00$ $7$ $7$ $=$ $=$ $\frac{\color{#00880a}7}{\color{#9a00c7}{1000}}$

$\frac{7}{1000}$ $7/1000$
Question 4 of 5

4. Question
Convert into a mixed number

$9.3$ $9.3$
- 1. $9 \frac{1}{3}$ $9 1/3$
- 2. $3 \frac{9}{10}$ $3 9/10$
- 3. $9 \frac{3}{10}$ $9 3/10$
- 4. $3 \frac{1}{9}$ $3 1/9$
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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.

$Whole number$ $\text(Whole number)$ $=$ $=$ $9$ $9$

$Decimal$ $\text(Decimal)$ $=$ $=$ $0.3$ $0.3$

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

The decimal point was moved $1$ $1$ place, so the denominator of the fraction will have $1$ $1$ zero, or $10$ $10$ .

Use the non-zero digit ( $3$ $3$ ) as the numerator and simplify the fraction if needed.

$0.3$ $=$ $=$ $\frac{\color{#00880a}{3}}{\color{#9a00c7}{10}}$

Finally, combine the whole number and the fraction.

$9.3$ $=$ $=$ $\color{#004ec4}{9} \frac{\color{#00880a}{3}}{\color{#9a00c7}{10}}$

$9 3/10$
Question 5 of 5

5. Question
Convert into a mixed number

$3.005$
- 1. $3 1/200$
- 2. $1 3/500$
- 3. $3 1/250$
- 4. $1 3/200$
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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.

$\text(Whole number)$ $=$ $3$

$\text(Decimal)$ $=$ $0.005$

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

$0.005$ $=$ $\frac{\color{#00880a}{5}}{\color{#9a00c7}{1000}}$

$=$ $1/200$ Simplify

Finally, combine the whole number and the fraction.

$3.005$ $=$ $\color{#004ec4}{3} \frac{\color{#00880a}{1}}{\color{#9a00c7}{200}}$

$3 1/200$

Expressing Decimals as a Fraction 1

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Quiz summary

Information

1. Question

Hint

Great Work!

2 Places (2 Zeros)

3 Places (3 Zeros)

2. Question

Hint

Keep Going!

2 Places (2 Zeros)

3 Places (3 Zeros)

3. Question

Hint

Nice Job!

2 Places (2 Zeros)

3 Places (3 Zeros)

4. Question

Hint

Well Done!

5. Question

Hint

Nice Job!

Quizzes

$0.0$ $0.0$ $2$ $2$	$=$ $=$	$\frac{\color{#00880a}2}{\color{#9a00c7}{100}}$

	$=$ $=$	$\frac{1}{50}$ $1/50$	Simplify

$Whole number$ $\text(Whole number)$	$=$ $=$	$9$ $9$
$Decimal$ $\text(Decimal)$	$=$ $=$	$0.3$ $0.3$

$0.005$	$=$	$\frac{\color{#00880a}{5}}{\color{#9a00c7}{1000}}$

	$=$	$1/200$	Simplify