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7 grade maths

Convert 3.125 into a fraction and a percent.

Profile image of Aniket Singh
10 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer10 Months ago

To convert the decimal 3.125 into a fraction and a percent, follow these steps:

Converting to a Fraction

First, express 3.125 as a fraction. You can break it down as follows:

  • 3.125 can be written as 3 + 0.125.
  • Next, convert 0.125 into a fraction. Since 0.125 is the same as 125/1000, simplify it:
    • Both the numerator and denominator can be divided by 125.
    • This gives 1/8.
  • Now, combine the whole number with the fraction: 3 + 1/8 = 3 1/8.

Converting to a Percent

To convert 3.125 into a percent, multiply by 100:

  • 3.125 × 100 = 312.5%.

Final Results

In summary, the decimal 3.125 can be expressed as:

  • Fraction: 3 1/8
  • Percent: 312.5%