Converting 7.8/10: Fraction to Percentage Solution

Convert the fraction 7.810 \frac{7.8}{10} to a percentage:

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Step-by-step video solution

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00:00 Convert fractions to percentages
00:05 To convert a fraction to a percentage, the denominator needs to be 100
00:10 The percentage is the numerator (X)
00:15 Apply this formula to our exercise
00:20 Multiply both the numerator and denominator by 10 to obtain a denominator equal to 100
00:25 Proceed to calculate
00:39 This is the solution

Step-by-step written solution

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1

Understand the problem

Convert the fraction 7.810 \frac{7.8}{10} to a percentage:

2

Step-by-step solution

To convert the fraction 7.810 \frac{7.8}{10} into a percentage, we follow these simple steps:

  • Step 1: Understand that converting a fraction to a percentage involves multiplying by 100.

  • Step 2: Express the fraction given as a decimal by performing the division 7.810=0.78 \frac{7.8}{10} = 0.78 .

  • Step 3: Multiply the decimal by 100 to convert it to a percentage: 0.78×100=78 0.78 \times 100 = 78 . This gives us 78% 78\% .

Therefore, converting the fraction 7.810 \frac{7.8}{10} to a percentage, we get 78% 78\% .

3

Final Answer

78%

Practice Quiz

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Convert the fraction into a percentage:

\( \frac{2}{100}=\text{?} \)

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