Question

fraction/decimal/%
7/4____ ____
____ .165 ____
____ ____ .25%
simplify
$\frac{100}{75}$
$\frac{170}{510}$
$\frac{56}{63}$

Explanation:

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Left Section (Fraction/decimal/% conversions)

Step1: Convert 7/4 to decimal

Divide numerator by denominator:
$7 \div 4 = 1.75$

Step2: Convert 7/4 to percentage

Multiply decimal by 100:
$1.75 \times 100 = 175\%$

Step3: Convert 0.165 to fraction

Write as $\frac{165}{1000}$, simplify by GCD 5:
$\frac{165 \div 5}{1000 \div 5} = \frac{33}{200}$

Step4: Convert 0.165 to percentage

Multiply decimal by 100:
$0.165 \times 100 = 16.5\%$

Step5: Convert 0.25% to decimal

Divide percentage by 100:
$0.25 \div 100 = 0.0025$

Step6: Convert 0.25% to fraction

Write decimal as $\frac{25}{10000}$, simplify by GCD 25:
$\frac{25 \div 25}{10000 \div 25} = \frac{1}{400}$
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Right Section (Simplify fractions)

Step7: Simplify $\frac{100}{75}$

Divide by GCD 25:
$\frac{100 \div 25}{75 \div 25} = \frac{4}{3}$

Step8: Simplify $\frac{170}{510}$

Divide by GCD 170:
$\frac{170 \div 170}{510 \div 170} = \frac{1}{3}$

Step9: Simplify $\frac{56}{63}$

Divide by GCD 7:
$\frac{56 \div 7}{63 \div 7} = \frac{8}{9}$

Answer:

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Left Section Results:

1. For $\frac{7}{4}$: Decimal = $1.75$, Percentage = $175\%$
2. For $0.165$: Fraction = $\frac{33}{200}$, Percentage = $16.5\%$
3. For $0.25\%$: Fraction = $\frac{1}{400}$, Decimal = $0.0025$

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Right Section Results:

1. $\frac{100}{75} = \frac{4}{3}$
2. $\frac{170}{510} = \frac{1}{3}$
3. $\frac{56}{63} = \frac{8}{9}$