Convert Mixed Numbers, Mixed Fractions and Fraction Percentages 1

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Question 1 of 5

1. Question
Convert to a percentage

$5 3/4$
- $5 3/4 =$ (575) $%$
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To convert mixed numbers into percentages, multiply the whole number and the fraction by $100$ .

Whole number

$\text(Percentage)$ $=$ $5\times100$

$=$ $500%$

Fraction

$\text(Percentage)$ $=$ $\frac{3}{4}\times100$

$=$ $\frac{3\times100}{4\times1}$

$=$ $\frac{3\times25}{1\times1}$ Simplify

$=$ $75%$

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

$\text(Percentage)$ $=$ $500+75$

$=$ $575%$

$575%$
Question 2 of 5

2. Question
Convert to a percentage

$27 7/10$
- $27 7/10=$ (2770) $%$
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To convert mixed numbers into percentages, multiply the whole number and the fraction by $100$ .

Whole number

$\text(Percentage)$ $=$ $27\times100$

$=$ $2700%$

Fraction

$\text(Percentage)$ $=$ $\frac{7}{10}\times100$

$=$ $\frac{7\times100}{10\times1}$

$=$ $\frac{7\times10}{1\times1}$ Simplify

$=$ $70%$

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

$\text(Percentage)$ $=$ $2700+70$

$=$ $2770%$

$2770%$
Question 3 of 5

3. Question
Convert to a decimal

$1/4%$
- $1/4%=$ (0.0025)
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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 $1/4$ into a decimal

Since $4$ cannot go into $1$ , write $0.$ above it and add $0$ so that $1$ becomes $10$

Divide $10$ by $4$ and write the answer after the decimal

Multiply $2$ to $4$ and write the product below $10$

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

Since $4$ cannot go into $2$ , add $0$ so that $2$ becomes $20$

Divide $20$ by $4$ and write the answer after $0.2$

This means $1/5%$ is equal to $0.25%$

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.

$\text(Decimal)$ $=$ ${0.25}\div100$

Therefore, $1/4%$ is equal to $0.0025$

$0.0025$

Question 4 of 5

Convert to a fraction

$7 1/2%$

Write fractions in the format “a/b”

$7 1/2%=$ (3/40)

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

$100$ converts it into a fraction.

$7 1/2%$ can be converted to a fraction by having

$100$ as the percentage value’s denominator.

$7 1/2%$

$=$

$(7 1/2)/(100)$

Simplify the fraction further.

		$(7 1/2)/(100)$
		$\frac{7{\frac{1}{2}}\color{#CC0000}{\times2}}{100\color{#CC0000}{\times2}}$	Multiply the numerator and denominator by $2$

		$\frac{15\color{#CC0000}{\div5}}{200\color{#CC0000}{\div5}}$	Divide the numerator and denominator by $5$

		$\frac{3}{40}$

$3/40$

Question 5 of 5

Convert to a fraction

$12 1/4%$

Write fractions in the format “a/b”

$12 1/4%=$ (49/400)

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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

$\color{#00880A}{12}\frac{\color{#007DDC}{1}}{\color{#9a00c7}{4}}$	$=$	$\frac{(\color{#9a00c7}{4}\times\color{#00880A}{12})+\color{#007DDC}{1}}{\color{#9a00c7}{4}}$

	$=$	$\frac{48+1}{4}$

	$=$	$\frac{49}{4}\%$

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

$\text(Fraction)$	$=$	$\frac{\frac{49}{4}}{\color{#CC0000}{100}}$

	$=$	$\frac{49}{4}\div{\color{#CC0000}{100}}$	Change from a fraction to division

	$=$	$\frac{49}{4}\times\frac{1}{100}$	Get the divisor’s reciprocal then multiply

	$=$	$\frac{49}{400}$

$49/400$

Convert Mixed Numbers, Mixed Fractions and Fraction Percentages 1

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Transforming a Fraction from Mixed to Improper

Quizzes

$\text(Percentage)$	$=$	$\frac{3}{4}\times100$

	$=$	$\frac{3\times100}{4\times1}$

	$=$	$\frac{3\times25}{1\times1}$	Simplify

	$=$	$75%$

$\text(Percentage)$	$=$	$\frac{7}{10}\times100$

	$=$	$\frac{7\times100}{10\times1}$

	$=$	$\frac{7\times10}{1\times1}$	Simplify

	$=$	$70%$