Ratios and proportions, worked out

The Ratio Table

A ratio compares amounts: for every 2 of these, 3 of those. Simplify ratios, find unit rates and the better buy, solve proportions, share an amount in a ratio, and work with map and recipe scales — every step done the way you’d do it on paper, with a ratio table, a double number line or a bar model to show why. Percents are on the Hundred Grid, fractions on the Fraction Bar.

Make a problem for me — pick what goes in it
Try

The work

a:b The ratio
GCF Common factors
× ÷ Same to every part
1 Per one & units
✓ Results and checks

Say it out loud

    Every step comes back to one idea: do the same × or ÷ to every part and the ratio stays the same. Stuck on the arithmetic inside a step? Work it on ×, ÷ or the Fraction Bar.