Converting Fractions to Decimals 2

Years

Year 10

Decimals

Converting Fractions to Decimals

Converting Fractions to Decimals 2

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Question 1 of 5

1. Question
Convert into decimal form

$\frac{7}{20}$ $7/20$
- (0.35)
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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 $7$ $7$ by $20$ $20$ to find its decimal form.

$7$ $7$ cannot be divided by $20$ $20$ . In this case, add a $0$ $0$ next to $7$ $7$ and add a decimal point above the line

$20$ $20$ goes into $70$ $70$ three time. So write $3$ $3$ above the line.

Multiply $3$ $3$ to $20$ $20$ and write the answer below $70$ $70$

Subtract $60$ $60$ from $70$ $70$ and write the answer one line below.

$10$ $10$ cannot be divided by $20$ $20$ . In this case, add a $0$ $0$ next to $10$ $10$

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

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

Since $5 \times 20 = 100$ $5xx20=100$ , there are no remainders in this division.

Therefore, $\frac{7}{20}$ $7/20$ is equal to $0.35$ $0.35$ .

$0.35$ $0.35$
Question 2 of 5

2. Question
Convert into decimal form

$\frac{2}{3}$ $2/3$

Round your answer to three decimal places
- (0.667)
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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 $2$ $2$ by $3$ $3$ to find its decimal form.

$2$ $2$ cannot be divided by $3$ $3$ . In this case, add a $0$ $0$ next to $2$ $2$ and add a decimal point above the line

$3$ $3$ goes into $20$ $20$ six times. So write $6$ $6$ above the line.

Multiply $6$ $6$ to $3$ $3$ and write the answer below $20$ $20$

Subtract $18$ $18$ from $20$ $20$ and write the answer one line below.

Since we got $2$ $2$ as a remainder again, the process will repeat indefinitely.

Therefore, $\frac{2}{3}$ $2/3$ is equal to $0.6666 \dots$ $0.6666…$ or $0.667$ $0.667$ rounded to three decimal places.

$0.667$ $0.667$
Question 3 of 5

3. Question
Convert into decimal form

$\frac{5}{12}$ $5/12$

Round your answer to four decimal places
- (0.4167)
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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 $5$ $5$ by $12$ $12$ to find its decimal form.

$5$ $5$ cannot be divided by $12$ $12$ . In this case, add a $0$ $0$ next to $5$ $5$ and add a decimal point above the line

$12$ $12$ goes into $50$ $50$ four times. So write $4$ $4$ above the line.

Multiply $4$ $4$ to $12$ $12$ and write the answer below $50$ $50$

Subtract $48$ $48$ from $50$ $50$ and write the answer one line below.

$2$ $2$ cannot be divided by $12$ $12$ . In this case, add a $0$ $0$ next to $2$ $2$

$12$ $12$ goes into $20$ $20$ one time. So write $1$ $1$ above the line.

Multiply $1$ $1$ to $12$ $12$ and write the answer below $20$ $20$

Subtract $12$ $12$ from $20$ $20$ and write the answer one line below.

$8$ $8$ cannot be divided by $12$ $12$ . In this case, add a $0$ $0$ next to $8$ $8$

$12$ $12$ goes into $80$ $80$ six time. So write $6$ $6$ above the line.

Multiply $6$ $6$ to $12$ $12$ and write the answer below $80$ $80$

Subtract $72$ $72$ from $80$ $80$ and write the answer one line below.

Since we got $8$ $8$ as a remainder again, the process will repeat indefinitely.

Therefore, $\frac{5}{12}$ $5/12$ is equal to $0.4166 \dots$ $0.4166…$ or $0.4167$ $0.4167$ rounded of to four decimal places.

$0.4167$ $0.4167$
Question 4 of 5

4. Question
Convert into decimal form

$\frac{6}{5}$ $6/5$
- (1.2)
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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 $6$ $6$ by $5$ $5$ to find its decimal form.

$5$ $5$ goes into $6$ $6$ one time. So write $1$ $1$ above the line.

Multiply $1$ $1$ to $5$ $5$ and write the answer below $6$ $6$

Subtract $5$ $5$ from $6$ $6$ and write the answer one line below.

$1$ $1$ cannot be divided by $5$ $5$ . In this case, add a $0$ $0$ next to $1$ $1$ and add a decimal point above the line

$5$ $5$ goes into $10$ $10$ two times. So write $2$ $2$ above the line.

Multiply $2$ $2$ to $5$ $5$ and write the answer below $10$ $10$

Since $2 \times 5 = 10$ $2xx5=10$ , there are no remainders in this division.

Therefore, $\frac{6}{5}$ $6/5$ is equal to $1.2$ $1.2$ .

$1.2$ $1.2$
Question 5 of 5

5. Question
Convert into decimal form

$5 \frac{3}{5}$ $5 3/5$
- (5.6)
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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 $3$ $3$ by $5$ $5$ .

$3$ $3$ cannot be divided by $5$ $5$ . In this case, add a $0$ $0$ next to $3$ $3$ and add a decimal point above the line

$5$ $5$ goes into $30$ $30$ six times. So write $6$ $6$ above the line.

Multiply $6$ $6$ to $5$ $5$ and write the answer below $30$ $30$

Since $6 \times 5 = 30$ $6xx5=30$ , there are no remainders in this division.

Therefore, $\frac{3}{5}$ $3/5$ is $0.6$ $0.6$ in decimal form.

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

$0.6 + 5$ $0.6+5$ $=$ $=$ $5.6$ $5.6$

$5.6$ $5.6$

Converting Fractions to Decimals 2

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