Convert Mixed Numbers, Mixed Fractions and Fraction Percentages 2

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Question 1 of 5

1. Question
Convert to a percentage

$12 3/5$
- $12 3/5 =$ (1260) $%$
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To convert mixed numbers into percentages, multiply the whole number and the fraction by $100$ .

Whole number

$\text(Percentage)$ $=$ $12\times100$

$=$ $1200%$

Fraction

$\text(Percentage)$ $=$ $\frac{3}{5}\times100$

$=$ $\frac{3\times100}{5\times1}$

$=$ $\frac{3\times20}{1\times1}$ Simplify

$=$ $60%$

Finally, add the two products to get the final percentage.

$\text(Percentage)$ $=$ $1200+60$

$=$ $1260%$

$1260%$
Question 2 of 5

2. Question
Convert to a decimal

$15 1/5%$
- $15 1/5%=$ (0.152)
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When dividing decimals to values like $10, 100, 1000…$ , simply move the decimal point to the left by the number of zeroes.

Start by converting $1/5$ into a decimal using long division

Since $5$ cannot go into $1$ , write $0.$ above it and add $0$ so that $1$ becomes $10$

Divide $10$ by $5$ and write the answer after the decimal

This means $15 1/5%$ is equal to $15.2%$

To convert a percentage to a decimal, divide the percentage value by $100$ .

Since the decimal is being divided by $100$ , simply move the decimal point $2$ places to the left.

$\text(Decimal)$ $=$ ${15.2}\div100$

Therefore, $15 1/5%$ is equal to $0.152$

$0.152$
Question 3 of 5

3. Question
Convert to a decimal

$37 1/8%$
- $37 1/8%=$ (0.37125)
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When dividing decimals to values like $10, 100, 1000…$ , simply move the decimal point to the left by the number of zeroes.

Start by converting $1/8$ into a decimal

Since $8$ cannot go into $1$ , write $0.$ above it and add $0$ so that $1$ becomes $10$

Divide $10$ by $8$ and write the answer after the decimal

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

Subtract $8$ from $10$ and write the difference one line below

Since $8$ cannot go into $2$ , add $0$ so that $2$ becomes $20$

Divide $20$ by $8$ and write the answer after $0.1$

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

Subtract $16$ from $20$ and write the difference one line below

Since $8$ cannot go into $4$ , add $0$ so that $4$ becomes $40$

Divide $40$ by $8$ and write the answer after $0.12$

This means $37 1/8%$ is equal to $37.125%$

To convert a percentage to a decimal, divide the percentage value by $100$ .

Since the decimal is being divided by $100$ , simply move the decimal point $2$ places to the left.

$\text(Decimal)$ $=$ ${37.125}\div100$

Therefore, $37 1/8%$ is equal to $0.37125$

$0.37125$

Question 4 of 5

Convert to a fraction

$33 1/3%$

Write fractions in the format “a/b”

$33 1/3%=$ (1/3)

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Transforming a Fraction from Mixed to Improper

$=$

$\frac{(\color{#9a00c7}{c}\times\color{#00880A}{A})+\color{#007DDC}{b}}{\color{#9a00c7}{c}}$

A percentage describes an amount’s relation to a whole. Dividing it by

$100$ converts it into a fraction.

First, change the mixed number into an improper fraction by multiplying the denominator by the whole number and then adding the numerator

$\color{#00880A}{33}\frac{\color{#007DDC}{1}}{\color{#9a00c7}{3}}$	$=$	$\frac{(\color{#9a00c7}{3}\times\color{#00880A}{33})+\color{#007DDC}{1}}{\color{#9a00c7}{3}}$

	$=$	$\frac{99+1}{3}$

	$=$	$\frac{100}{3}\%$

Then, convert the percentage to a fraction by having

$100$ as the percentage value’s denominator

Dividing fractions is the same as multiplying the dividend by the divisor’s reciprocal

$\text(Fraction)$	$=$	$\frac{\frac{100}{3}}{\color{#CC0000}{100}}$

	$=$	$\frac{100}{3}\div{\color{#CC0000}{100}}$	Change from a fraction to division

	$=$	$\frac{100}{3}\times\frac{1}{100}$	Get the divisor’s reciprocal then multiply

	$=$	$\frac{1}{3}$	Simplify

$1/3$

Question 5 of 5

Convert to a fraction

$4/5%$

Write fractions in the format “a/b”

$4/5%=$ (1/125)

Incorrect

A percentage describes an amount’s relation to a whole. Dividing it by

$100$ converts it into a fraction.

Convert the percentage to a fraction by having

$100$ as the percentage value’s denominator

Dividing fractions is the same as multiplying the dividend by the divisor’s reciprocal

$\text(Fraction)$	$=$	$\frac{\frac{4}{5}}{\color{#CC0000}{100}}$

	$=$	$\frac{4}{5}\div{\color{#CC0000}{100}}$	Change from a fraction to division

	$=$	$\frac{4}{5}\times\frac{1}{100}$	Get the divisor’s reciprocal then multiply

	$=$	$\frac{4}{500}$

	$=$	$\frac{1}{125}$	Simplify

$1/125$

Convert Mixed Numbers, Mixed Fractions and Fraction Percentages 2

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Quiz summary

Information

1. Question

Hint

Well Done!

2. Question

Hint

Exceptional!

3. Question

Hint

Great Work!

4. Question

Hint

Fantastic!

Transforming a Fraction from Mixed to Improper

5. Question

Hint

Well Done!

Quizzes

$\text(Percentage)$	$=$	$\frac{3}{5}\times100$

	$=$	$\frac{3\times100}{5\times1}$

	$=$	$\frac{3\times20}{1\times1}$	Simplify

	$=$	$60%$