Fractions and Decimals in Word Problems

Understanding Fractions and Combining Them in Real-World Scenarios

A fraction can represent part of a whole, a division result, or a quantity greater than one whole. The top number is called the numerator, and the bottom number is called the denominator. Any whole number can also be written as a fraction by placing it over a denominator of 1. In everyday word problems, fractions often measure quantities such as portions of supplies, remaining fuel, or time spent on tasks. When solving these problems on the ASVAB, recognizing how parts relate to the whole is your foundation.

To add or subtract fractions, they must share a common denominator. The lowest common denominator is the least common multiple of the denominators of the fractions you are combining. Once your fractions share a common denominator, you add or subtract the numerators while keeping the denominator unchanged. Words such as 'combined' and 'remains' can be useful clues, but decide whether to add, subtract, multiply, or divide by checking what the quantities represent and what the question asks.

When dealing with mixed numbers, which combine a whole-number part and a proper fraction like 2 1/2, addition and subtraction require extra attention. An improper fraction is one whose numerator is greater than or equal to its denominator. To convert a mixed number to an improper fraction, multiply the whole-number part by the denominator, add the numerator, and write that total over the original denominator. To add mixed numbers, you can combine the whole numbers and the fractions separately after finding a common denominator. When subtracting mixed numbers, you may need to take 1 from the minuend’s whole-number part and rewrite it as a fraction, for example, rewrite 3 1/4 as 2 5/4 before subtracting.