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Convert: 1.4/5 into apercentage 2. 7/4 ...

Convert:
1.`4/5` into apercentage
2. `7/4` into a percentage
3. `45%`into a fraction
4. 105% into a fraction
5. `15%` as a ratio
6. `12:25 into a percentage

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### Step-by-Step Solutions: 1. **Convert `4/5` into a percentage:** - To convert a fraction to a percentage, multiply the fraction by 100. - Calculation: \[ \frac{4}{5} \times 100 = \frac{4 \times 100}{5} = \frac{400}{5} = 80 \] - Therefore, \( \frac{4}{5} = 80\% \). 2. **Convert `7/4` into a percentage:** - Again, multiply the fraction by 100. - Calculation: \[ \frac{7}{4} \times 100 = \frac{7 \times 100}{4} = \frac{700}{4} = 175 \] - Therefore, \( \frac{7}{4} = 175\% \). 3. **Convert `45%` into a fraction:** - To convert a percentage to a fraction, write it over 100. - Calculation: \[ 45\% = \frac{45}{100} \] - Simplifying the fraction: \[ \frac{45 \div 5}{100 \div 5} = \frac{9}{20} \] - Therefore, \( 45\% = \frac{9}{20} \). 4. **Convert `105%` into a fraction:** - Write the percentage over 100. - Calculation: \[ 105\% = \frac{105}{100} \] - Simplifying the fraction: \[ \frac{105 \div 5}{100 \div 5} = \frac{21}{20} \] - Therefore, \( 105\% = \frac{21}{20} \). 5. **Convert `15%` as a ratio:** - First, convert the percentage into a fraction: \[ 15\% = \frac{15}{100} \] - Simplifying the fraction: \[ \frac{15 \div 5}{100 \div 5} = \frac{3}{20} \] - The ratio of 15% can be expressed as \( 3:20 \). 6. **Convert `12:25` into a percentage:** - To convert a ratio into a percentage, divide the first number by the second and multiply by 100. - Calculation: \[ \frac{12}{25} \times 100 = \frac{12 \times 100}{25} = \frac{1200}{25} = 48 \] - Therefore, \( 12:25 = 48\% \).
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Knowledge Check

  • Convert 76% into fraction.

    A
    `(19)/(25)`
    B
    `(17)/(25)`
    C
    `(13)/(17)`
    D
    `(19)/(23)`
  • Convert 76% into fraction.

    A
    `(19)/(25)`
    B
    `(17)/(25)`
    C
    `(13)/(17)`
    D
    `(19)/(23)`
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