Question Video: Converting a Fraction to a Percentage | Nagwa Question Video: Converting a Fraction to a Percentage | Nagwa

Question Video: Converting a Fraction to a Percentage Mathematics • First Year of Preparatory School

Write 2/8 as a percentage.

01:18

Video Transcript

Write two-eighths as a percentage.

We want to convert the given fraction to a percentage.

To begin, we recall that a fraction of the form 𝑎 over 𝑏 can be expressed as a percentage 𝑝 percent, where 𝑝 equals 𝑎 over 𝑏 multiplied by 100. In this case, we take two over eight multiplied by 100. Then, by dividing the numerator and denominator by eight, we find that 𝑝 equals 25. Therefore, two-eights can be expressed as 25 percent.

An alternative way to approach this problem is to simplify the fraction first, by identifying the highest common factor of two. Then, we find that two-eighths simplifies to one-fourth. We recall that any percentage 𝑝 percent can be expressed as the fraction 𝑝 over 100. So we can express one-fourth as a percentage by multiplying the numerator and denominator by 25. This gives us 25 over 100, where the numerator indicates our percentage is 25 percent. This confirms the answer we found with the first method.

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