Expressing Decimals as a Fraction 3

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Year 10

Decimals

Expressing Decimals as a Fraction

Expressing Decimals as a Fraction 3

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Question 1 of 4

1. Question
Convert into fraction form

$0.0003$ $0.0003$

Write fractions in the form “a/b”
- (3/10000)
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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 $4$ $4$ places, the denominator will have $4$ $4$ zeroes, or $10000$ $10000$

Use the whole number ( $3$ $3$ ) as the numerator and simplify the fraction if needed.

$0.000$ $0.000$ $3$ $3$ $=$ $=$ $\frac{\color{#00880a}3}{\color{#9a00c7}{10000}}$

$\frac{3}{10000}$ $3/10000$
Question 2 of 4

2. 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 3 of 4

3. Question
Convert into a mixed number

$8.0008$ $8.0008$
- 1. $8 \frac{1}{125}$ $8 1/125$
- 2. $8 \frac{1}{1250}$ $8 1/1250$
- 3. $8 \frac{1}{1000}$ $8 1/1000$
- 4. $8 \frac{80}{1000}$ $8 80/1000$
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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.

$Whole number$ $\text(Whole number)$ $=$ $=$ $8$ $8$

$Decimal$ $\text(Decimal)$ $=$ $=$ $0.0008$ $0.0008$

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

The decimal point was moved $4$ $4$ places, so the denominator of the fraction will have $4$ $4$ zeroes, or $10000$ $10000$ .

Use the non-zero digit ( $8$ $8$ ) as the numerator and simplify the fraction if needed.

$0.0008$ $=$ $=$ $\frac{\color{#00880a}{8}}{\color{#9a00c7}{10000}}$

$=$ $=$ $\frac{1}{1250}$ $1/1250$ Simplify

Finally, combine the whole number and the fraction.

$8.0008$ $=$ $=$ $\color{#004ec4}{8} \frac{\color{#00880a}{1}}{\color{#9a00c7}{1250}}$

$8 \frac{1}{1250}$ $8 1/1250$
Question 4 of 4

4. Question
Convert into a mixed number

$16.25$ $16.25$
- 1. $16 \frac{1}{4}$ $16 1/4$
- 2. $16 \frac{3}{5}$ $16 3/5$
- 3. $16 \frac{20}{50}$ $16 20/50$
- 4. $16 \frac{1}{3}$ $16 1/3$
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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.

$Whole number$ $\text(Whole number)$ $=$ $=$ $16$ $16$

$Decimal$ $\text(Decimal)$ $=$ $=$ $0.25$ $0.25$

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 ( $25$ $25$ ) as the numerator and simplify the fraction if needed.

$0.25$ $=$ $=$ $\frac{\color{#00880a}{25}}{\color{#9a00c7}{100}}$

$=$ $=$ $\frac{1}{4}$ $1/4$ Simplify

Finally, combine the whole number and the fraction.

$16.25$ $=$ $=$ $\color{#004ec4}{16} \frac{\color{#00880a}{1}}{\color{#9a00c7}{4}}$

$16 \frac{1}{4}$ $16 1/4$

Expressing Decimals as a Fraction 3

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Quiz summary

Information

1. Question

Hint

Fantastic!

2 Places (2 Zeros)

3 Places (3 Zeros)

2. Question

Hint

Excellent!

2 Places (2 Zeros)

3 Places (3 Zeros)

3. Question

Hint

Exceptional!

4. Question

Hint

Excellent!

Quizzes

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

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

$Whole number$ $\text(Whole number)$	$=$ $=$	$8$ $8$
$Decimal$ $\text(Decimal)$	$=$ $=$	$0.0008$ $0.0008$

$0.0008$	$=$ $=$	$\frac{\color{#00880a}{8}}{\color{#9a00c7}{10000}}$

	$=$ $=$	$\frac{1}{1250}$ $1/1250$	Simplify

$Whole number$ $\text(Whole number)$	$=$ $=$	$16$ $16$
$Decimal$ $\text(Decimal)$	$=$ $=$	$0.25$ $0.25$

$0.25$	$=$ $=$	$\frac{\color{#00880a}{25}}{\color{#9a00c7}{100}}$

	$=$ $=$	$\frac{1}{4}$ $1/4$	Simplify