Chapter 1
Numbers and Operations
Course: Gace Middle Grades Math 4 8 704
Subject: Gace Middle Grades Math 4 8 704
Chapter: Numbers And Operations
1. Converts among fractions, decimals, and percents
Fractions, decimals, and percents all describe parts of a whole, and conversions among them are a foundational skill. Fractions are expressed as ratios of two integers, decimals are based on powers of ten, and percents are “per hundred.”
Fraction to decimal conversion is done by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. If the division terminates, the decimal has a finite end. If it repeats, the decimal has an infinite repeating pattern such as 1/3 = 0.333… .
Decimal to percent conversion involves multiplying by 100. For example, 0.75 × 100 = 75%. This shifts the decimal two places to the right.
Percent to fraction conversion involves writing the percent as a ratio over 100 and simplifying. For instance, 75% = 75/100 = 3/4.