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

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

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Write 120% as a fraction in its simplest form.

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Video Transcript

Write 120 percent as a fraction in its simplest form.

We recall that a percentage 𝑝 percent can be expressed as a fraction 𝑝 over 100. Therefore, 120 percent can be expressed as 120 over 100. To ensure our answer is in its simplest form, we will consider whether 120 and 100 have a highest common factor, or HCF. We find that 20 is the HCF of 120 and 100. So, we divide the numerator and denominator by 20, resulting in six over five. Because six-fifths is greater than one, we can write it as a mixed number. We can think of six-fifths as five-fifths plus one- fifth, which gives us the mixed number one and one-fifth.

Therefore, 120 percent can be expressed as a simplified fraction one and one-fifth.

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