Lesson · M.3.3

Converting fractions and decimals

Convert any fraction to a decimal by dividing the numerator by the denominator, and any decimal to a fraction by reading its place value, both skills the HESI A2 math subtest tests directly.

ObjectiveM.3.3Read5 minExam weightDecimals ≈ 18% of Mathematics

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What you will be able to do

  • Convert a fraction to a decimal by dividing the numerator by the denominator.
  • Convert a decimal to a fraction by reading its last digit's place value, then reducing.
  • Round a non-terminating decimal to the hundredths place with confidence.

What the lesson concludes

  • A fraction bar means divide, so the numerator always goes in the division box and the denominator always goes outside it.
  • A decimal's last digit tells you the denominator: tenths give 10, hundredths give 100, thousandths give 1000.
  • If a decimal repeats instead of terminating, carry it to the thousandths place, then round to the hundredths place.
  • Always reduce the resulting fraction to its lowest terms before you call it a final answer.