Combined Operations, Finding the Whole, and Fractional Changes

Understand fractions as division quotients, parts of wholes, measures, and ratios, and convert fluently between fractions, terminating/recurring decimals, and percentages.

Generate equivalent fractions, convert between mixed numbers and improper fractions, and compare and order rational numbers.

Add and subtract proper fractions, improper fractions, and mixed numbers with like and unlike denominators, including regrouping.

Multiply fractions and mixed numbers, interpret fraction multiplication with area models, and solve geometric area applications.

Explain multiplication as scaling and resizing, and divide unit fractions by whole numbers and whole numbers by unit fractions.

Perform mixed operations across fractions and decimals, find total quantities from fractional parts, and compute fractional increases and decreases.

Master percentage concepts as parts per hundred, utilize benchmark equivalences, and calculate percentages of quantities in practical situations.