AI Tutor
Imagine you have 2122\frac{1}{2} cups of flour, and each mini muffin recipe needs 14\frac{1}{4} of a cup. How many batches can you bake?
Counting the pieces gives 10 batches. But how do we solve this using math every single time?

Step 1: Convert to an Improper Fraction

A mixed number combines a whole number with a fraction, like 2122\frac{1}{2}. An improper fraction is a fraction where the top number is equal to or larger than the bottom number, like 52\frac{5}{2}.
To convert, multiply the whole number by the denominator and add the numerator: 2×2+1=52 \times 2 + 1 = 5, giving 52\frac{5}{2}.
Why does this work? Each whole cup contains 22 halves, so 22 whole cups contain 2×2=42 \times 2 = 4 halves, plus the extra half makes 55 halves total.
Now that we have clean fractions, how do we divide them?

Step 2: Multiply by the Reciprocal

Dividing by a fraction is the same as multiplying by its reciprocal — which just means flipping the numerator and denominator.
This confirms our visual: 52×41=202=10\frac{5}{2} \times \frac{4}{1} = \frac{20}{2} = 10 batches.