MAP 5th Grade Math

A comprehensive course preparing 5th graders for the MAP math assessment, covering essential concepts and real-world math skills.

Advanced Topics

Multiplying and Dividing Fractions

Combining and Sharing Pieces

Multiplying and dividing fractions lets us figure out things like how much of an ingredient we need or how to split something fairly.

Multiplying Fractions

To multiply fractions, multiply the numerators and the denominators:

\[ \frac{2}{3} \times \frac{4}{5} = \frac{8}{15} \]

Dividing Fractions

To divide fractions, multiply the first fraction by the reciprocal of the second:

\[ \frac{3}{4} \div \frac{2}{5} = \frac{3}{4} \times \frac{5}{2} = \frac{15}{8} \]

Why This Matters

This helps us in recipes, crafts, and any time we need to work with parts of parts!

Key Formula

\[\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}\]

Examples

  • Finding out how much of a recipe you need if you're making half a batch.

  • Splitting \( \frac{3}{4} \) of a pizza between 2 people.

In a Nutshell

Multiplying and dividing fractions help us solve more complex real-world problems involving parts of things.

Key Terms

Reciprocal
The flipped version of a fraction. The reciprocal of \( \frac{2}{3} \) is \( \frac{3}{2} \).