Convert 17/20 to a Percentage: Step-by-Step Guide

Convert the following fraction into a percentage:

1720=? \frac{17}{20}=\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert fractions to percentages
00:05 A fraction with a denominator of 100 is equal to the numerator in percentage form (X)
00:13 Determine which number to multiply the denominator by to obtain a denominator of 100
00:23 Multiply both the numerator and denominator by 5 to obtain a denominator equal to 100
00:33 Calculate as follows
00:36 Apply this formula to our exercise
00:41 This is the solution

Step-by-step written solution

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1

Understand the problem

Convert the following fraction into a percentage:

1720=? \frac{17}{20}=\text{?}

2

Step-by-step solution

To solve the problem of converting 1720\frac{17}{20} to a percentage, follow these steps:

  • Step 1: Identify the fraction 1720\frac{17}{20}.
  • Step 2: Multiply the fraction by 100 to convert it into a percentage:

1720×100%=170020%\frac{17}{20} \times 100\% = \frac{1700}{20}\%

  • Step 3: Perform the division:

170020=85\frac{1700}{20} = 85

Thus, 1720\frac{17}{20} is equivalent to 85%.

Therefore, the solution to the problem is 85%.

3

Final Answer

85%

Practice Quiz

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Convert the fraction into a percentage:

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

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