Converting Fractions to Decimals 1

Years

Year 10

Decimals

Converting Fractions to Decimals

Converting Fractions to Decimals 1

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Question 1 of 5

1. Question
Convert into decimal form

$1/8$
- (0.125)
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To convert a fraction into decimal form, simply divide the numerator by its denominator.

Example: $a/b=adivideb$

Simply divide $1$ by $8$ to find its decimal form.

$1$ cannot be divided by $8$ . In this case, add a $0$ next to $1$ and add a decimal point above the line

$8$ goes into $10$ one time. So write $1$ above the line.

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Multiply $1$ to $8$ and write the answer below $10$

Subtract $8$ from $10$ and write the answer one line below.

$2$ cannot be divided by $8$ . In this case, add a $0$ next to $2$

$8$ goes into $20$ two times. So write $2$ above the line.

Multiply $2$ to $8$ and write the answer below $20$

Subtract $16$ from $20$ and write the answer one line below.

$4$ cannot be divided by $8$ . In this case, add a $0$ next to $4$ .

$8$ goes into $40$ five times. So write $5$ above the line.

Multiply $5$ to $8$ and write the answer below $40$

Since $5xx8=40$ , there are no remainders in this division.

Therefore, $1/8$ is equal to $0.125$ .

$0.125$
Question 2 of 5

2. Question
Convert into decimal form

$4/5$
- (0.8)
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To convert a fraction into decimal form, simply divide the numerator by its denominator.

Example: $a/b=adivideb$

Simply divide $4$ by $5$ to find its decimal form.

$4$ cannot be divided by $5$ . In this case, add a $0$ next to $4$ and add a decimal point above the line

$5$ goes into $40$ eight times. So write $8$ above the line.

Multiply $8$ to $5$ and write the answer below $40$

Since $8xx5=40$ , there are no remainders in this division.

Therefore, $4/5$ is equal to $0.8$ .

$0.8$
Question 3 of 5

3. Question
Convert into decimal form

$1/6$

Round your answer to three decimal places
- (0.167)
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To convert a fraction into decimal form, simply divide the numerator by its denominator.

Example: $a/b=adivideb$

Simply divide $1$ by $6$ to find its decimal form.

$1$ cannot be divided by $6$ . In this case, add a $0$ next to $1$ and add a decimal point above the line

$6$ goes into $10$ one time. So write $1$ above the line.

Multiply $1$ to $6$ and write the answer below $10$

Subtract $6$ from $10$ and write the answer one line below.

$4$ cannot be divided by $6$ . In this case, add a $0$ next to $4$

$6$ goes into $40$ six times. So write $6$ above the line.

Multiply $6$ to $6$ and write the answer below $40$

Subtract $36$ from $40$ and write the answer one line below.

Since we got $4$ as a remainder again, the process will repeat indefinitely.

Therefore, $1/6$ is equal to $0.16666…$ or $0.167$ rounded of to three decimal places..

$0.167$
Question 4 of 5

4. Question
Convert into decimal form

$1/20$
- (0.05)
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To convert a fraction into decimal form, simply divide the numerator by its denominator.

Example: $a/b=adivideb$

Simply divide $1$ by $20$ to find its decimal form.

$1$ cannot be divided by $20$ . In this case, add a $0$ next to $1$ and add a decimal point above the line

$10$ still cannot be divided by $20$ . In this case, add another $0$ next to $10$ and also add a $0$ above the line, after the decimal point

$20$ goes into $100$ five times. So write $5$ above the line.

Multiply $5$ to $20$ and write the answer below $100$

Since $5xx20=100$ , there are no remainders in this division.

Therefore, $1/20$ is equal to $0.05$ .

$0.05$
Question 5 of 5

5. Question
Convert into decimal form

$3 7/10$
- (3.7)
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To convert a fraction into decimal form, simply divide the numerator by its denominator.

Example: $a/b=adivideb$

First, convert the fraction part into decimal form by dividing $7$ by $10$ .

$7$ cannot be divided by $10$ . In this case, add a $0$ next to $7$ and add a decimal point above the line

$10$ goes into $70$ seven times. So write $7$ above the line.

Multiply $7$ to $10$ and write the answer below $70$

Since $7xx10=70$ , there are no remainders in this division.

Therefore, $7/10$ is $0.7$ in decimal form.

Finally, add the whole number to the quotient to get the final decimal form.

$0.7+3$ $=$ $3.7$

$3.7$

Converting Fractions to Decimals 1

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1. Question

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2. Question

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3. Question

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5. Question

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