Converting Fractions to Decimals 3

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Year 10

Decimals

Converting Fractions to Decimals

Converting Fractions to Decimals 3

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Question 1 of 5

1. Question
Convert into decimal form

$\frac{4}{9}$ $4/9$

Round your answer to three decimal places
- (0.444)
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To convert a fraction into decimal form, simply divide the numerator by its denominator.

Example: $\frac{a}{b} = a \div b$ $a/b=adivideb$

Simply divide $4$ $4$ by $9$ $9$ to find its decimal form.

$4$ $4$ cannot be divided by $9$ $9$ . In this case, add a $0$ $0$ next to $4$ $4$ and add a decimal point above the line

$9$ $9$ goes into $40$ $40$ four times. So write $4$ $4$ above the line.

Multiply $4$ $4$ to $9$ $9$ and write the answer below $40$ $40$

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

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

Therefore, $\frac{2}{3}$ $2/3$ is equal to $0.4444 \dots$ $0.4444…$ or $0.444$ $0.444$ rounded to three decimal places..

$0.444$ $0.444$
Question 2 of 5

2. Question
Convert into decimal form

$8 \frac{1}{3}$ $8 1/3$

Round your answer to three decimal places
- (8.333)
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To convert a fraction into decimal form, simply divide the numerator by its denominator.

Example: $\frac{a}{b} = a \div b$ $a/b=adivideb$

First, convert the fraction part into decimal form by dividing $1$ $1$ by $3$ $3$ .

$1$ $1$ cannot be divided by $3$ $3$ . In this case, add a $0$ $0$ next to $1$ $1$ and add a decimal point above the line

$3$ $3$ goes into $10$ $10$ three times. So write $3$ $3$ above the line.

Multiply $3$ $3$ to $3$ $3$ and write the answer below $10$ $10$

Subtract $9$ $9$ from $10$ $10$ and write the answer one line below.

Since we got $1$ $1$ as a remainder again, the process will repeat indefinitely.

Therefore, $\frac{1}{3}$ $1/3$ is equal to $0.3333 \dots$ $0.3333…$ or $0.333$ $0.333$ rounded to three decimal places.

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

$0.333 + 8$ $0.333+8$ $=$ $=$ $8.333$ $8.333$

$8.333$ $8.333$
Question 3 of 5

3. Question
Convert into decimal form

$5 \frac{4}{11}$ $5 4/11$

Round your answer to four decimal places
- (5.3636)
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To convert a fraction into decimal form, simply divide the numerator by its denominator.

Example: $\frac{a}{b} = a \div b$ $a/b=adivideb$

First, convert the fraction part into decimal form by dividing $4$ $4$ by $11$ $11$ .

$4$ $4$ cannot be divided by $11$ $11$ . In this case, add a $0$ $0$ next to $4$ $4$ and add a decimal point above the line

$11$ $11$ goes into $40$ $40$ three times. So write $3$ $3$ above the line.

Multiply $3$ $3$ to $11$ $11$ and write the answer below $40$ $40$

Subtract $33$ $33$ from $40$ $40$ and write the answer one line below.

$7$ $7$ cannot be divided by $11$ $11$ . In this case, add a $0$ $0$ next to $7$ $7$

$11$ $11$ goes into $70$ $70$ six times. So write $6$ $6$ above the line.

Multiply $6$ $6$ to $11$ $11$ and write the answer below $70$ $70$

Subtract $66$ $66$ from $70$ $70$ and write the answer one line below.

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

Therefore, $\frac{1}{3}$ $1/3$ is equal to $0.363636 \dots$ $0.363636…$ or $0.3636$ $0.3636$ rounded to four decimal places.

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

$0.3636 + 5$ $0.3636+5$ $=$ $=$ $5.3636$ $5.3636$

$5.3636$ $5.3636$
Question 4 of 5

4. Question
Convert into decimal form

$2 \frac{1}{25}$ $2 1/25$
- (2.04)
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To convert a fraction into decimal form, simply divide the numerator by its denominator.

Example: $\frac{a}{b} = a \div b$ $a/b=adivideb$

First, convert the fraction part into decimal form by dividing $1$ $1$ by $25$ $25$ .

$1$ $1$ cannot be divided by $25$ $25$ . In this case, add a $0$ $0$ next to $1$ $1$ and add a decimal point above the line

$10$ $10$ still cannot be divided by $25$ $25$ . In this case, add another $0$ $0$ next to $10$ $10$ and also add a $0$ $0$ above the line, after the decimal point

$25$ $25$ goes into $100$ $100$ four times. So write $4$ $4$ above the line.

Multiply $4$ $4$ to $25$ $25$ and write the answer below $100$ $100$

Since $4 \times 25 = 100$ $4xx25=100$ , there are no remainders in this division.

Therefore, $\frac{1}{25}$ $1/25$ is $0.04$ $0.04$ in decimal form.

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

$0.04 + 2$ $0.04+2$ $=$ $=$ $2.04$ $2.04$

$2.04$ $2.04$
Question 5 of 5

5. Question
Convert into decimal form

$9 \frac{1}{7}$ $9 1/7$
- 1. $9 . . 1 8452 . 7$ $9.dot1 8452 dot7$
- 2. $9 . . 1 4285 . 7$ $9.dot1 4285 dot7$
- 3. $9 . . 1 4278 . 5$ $9.dot1 4278 dot5$
- 4. $9 . . 1 8542 . 7$ $9.dot1 8542 dot7$
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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 $1$ by $7$ .

$1$ cannot be divided by $7$ . In this case, add a $0$ next to $1$ and add a decimal point above the line

$7$ goes into $10$ one time. So write $1$ above the line.

Multiply $1$ to $7$ and write the answer below $10$

Subtract $7$ from $10$ and write the answer one line below.

$3$ cannot be divided by $7$ . In this case, add a $0$ next to $3$

$7$ goes into $30$ four times. So write $4$ above the line.

Multiply $4$ to $7$ and write the answer below $30$

Subtract $28$ from $30$ and write the answer one line below.

$2$ cannot be divided by $7$ . In this case, add a $0$ next to $2$

$7$ goes into $20$ two times. So write $2$ above the line.

Multiply $2$ to $7$ and write the answer below $20$

Subtract $14$ from $20$ and write the answer one line below.

$6$ cannot be divided by $7$ . In this case, add a $0$ next to $6$

$7$ goes into $60$ eight times. So write $8$ above the line.

Multiply $8$ to $7$ and write the answer below $60$

Subtract $56$ from $60$ and write the answer one line below.

$4$ cannot be divided by $7$ . In this case, add a $0$ next to $4$

$7$ goes into $40$ five times. So write $5$ above the line.

Multiply $5$ to $7$ and write the answer below $40$

Subtract $35$ from $40$ and write the answer one line below.

$5$ cannot be divided by $7$ . In this case, add a $0$ next to $5$

$7$ goes into $50$ seven times. So write $7$ above the line.

Multiply $7$ to $7$ and write the answer below $50$

Subtract $49$ from $50$ and write the answer one line below.

Since we got $1$ as a remainder again, the process will repeat indefinitely.

Therefore, $1/7$ is equal to $0.dot1 4285 dot7$ .

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

$0.dot1 4285 dot7+9$ $=$ $9.dot1 4285 dot7$

$9.dot1 4285 dot7$

Converting Fractions to Decimals 3

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