ASVAB Math

ASVAB Math covers essential mathematical concepts and problem-solving skills necessary for success on the ASVAB test.

Basic Concepts

Fractions, Decimals, and Percents

Converting and Comparing Numbers

Fractions, decimals, and percents are different ways of showing parts of a whole. Understanding how to convert and compare them is essential for solving many ASVAB problems.

Fractions

A fraction like \( \frac{3}{4} \) means 3 parts out of 4 total. To simplify, divide both the top and bottom by the same number.

Decimals

Decimals like 0.75 are another way to show fractions. \( 0.75 = \frac{75}{100} = \frac{3}{4} \).

Percents

Percents are out of 100. 75% means 75 out of 100, or 0.75.

Converting

  • Fraction to decimal: Divide numerator by denominator.
  • Decimal to percent: Multiply by 100.
  • Percent to fraction: Write over 100 and simplify.

Where You'll Use Them

These skills pop up when figuring out sales tax, discounts, or measuring ingredients.

Examples

  • You scored 18 out of 20 on a quiz. That's 90% or 0.9.

  • A store offers a 25% discount on a $40 jacket. How much do you pay?

In a Nutshell

Fractions, decimals, and percents help us show and compare parts of a whole in different ways.