Question

eureka math² new york next gen
4 - m4 ta lesson 4
name
date

1. draw a number line to represent the fractional amount. write an equation to show one way to decompose the fraction.

number line equation
$\frac{4}{5}$ miles
1

1. draw an area model to represent the fractional amount. write an equation to show one way to decompose the fraction.

area model equation
$\frac{5}{6}$ parts of a pie

1. draw two different models to represent $\frac{2}{3}$ hours.

Explanation:

Step1: Create number line for $\frac{4}{5}$

Draw a number line from 0 to 1, divide it into 5 equal segments. Mark the point at the 4th segment to represent $\frac{4}{5}$.

Step2: Decompose $\frac{4}{5}$ (one way)

Break into two smaller fractions with denominator 5.
$\frac{4}{5} = \frac{2}{5} + \frac{2}{5}$

Step3: Draw area model for $\frac{5}{6}$

Draw a circle, divide it into 6 equal slices. Shade 5 of the 6 slices to represent $\frac{5}{6}$.

Step4: Decompose $\frac{5}{6}$ (one way)

Break into two smaller fractions with denominator 6.
$\frac{5}{6} = \frac{3}{6} + \frac{2}{6}$

Step5: Model 1 for $\frac{2}{3}$ hours

Draw a number line from 0 to 1 (representing 1 hour), divide into 3 equal parts, mark the 2nd part to show $\frac{2}{3}$.

Step6: Model 2 for $\frac{2}{3}$ hours

Draw a rectangle (representing 1 hour), divide into 3 equal smaller rectangles, shade 2 of them to show $\frac{2}{3}$.

Answer:

1. Number Line: A line from 0 to 1 split into 5 equal parts, with a mark at the 4th part.

Equation: $\frac{4}{5} = \frac{2}{5} + \frac{2}{5}$

1. Area Model: A circle split into 6 equal slices, 5 slices shaded.

Equation: $\frac{5}{6} = \frac{3}{6} + \frac{2}{6}$

1. Model 1 (Number Line): A line from 0 to 1 split into 3 equal parts, mark at the 2nd part.

Model 2 (Area Model): A rectangle split into 3 equal smaller rectangles, 2 shaded.