Question

finding equivalent fractions
name:
shade in the visual fraction to find the equivalent fraction.
ex)
$\frac{1}{4}$ = $\frac{3}{12}$
1)
$\frac{2}{5}$ =
2)
$\frac{2}{4}$ =
3)
$\frac{6}{8}$ =
4)
$\frac{1}{3}$ =
5)
$\frac{4}{6}$ =
6)
$\frac{0}{3}$ =
7)
$\frac{3}{9}$ =
8)
$\frac{1}{5}$ =
9)
$\frac{3}{5}$ =
answers
ex
$\frac{3}{12}$
1.
2.
3.
4.
5.
6.
7.
8.
9.

Explanation:

Problem 1: $\boldsymbol{\frac{2}{5} = ?}$

Step1: Analyze the visual model

The left rectangle has 5 equal parts, 2 shaded. The right rectangle has 10 equal parts (since $5 \times 2 = 10$).

Step2: Find equivalent fraction

To make the denominator 10, multiply numerator and denominator by 2: $\frac{2 \times 2}{5 \times 2} = \frac{4}{10}$.

Problem 2: $\boldsymbol{\frac{2}{4} = ?}$

Step1: Simplify or use visual

The left rectangle has 4 parts, 2 shaded. The right rectangle has 2 parts (since $4 \div 2 = 2$).

Step2: Equivalent fraction

$\frac{2}{4} = \frac{1}{2}$ (shade 1 of 2 parts).

Problem 3: $\boldsymbol{\frac{6}{8} = ?}$

Step1: Simplify the fraction

Divide numerator and denominator by 2: $\frac{6 \div 2}{8 \div 2} = \frac{3}{4}$? Wait, no—visual: left has 8 parts, 6 shaded. Right has 4 parts. Wait, $8 \div 2 = 4$, so $6 \div 2 = 3$? Wait, no, the right has 4 parts? Wait, no, the left is 8 parts, 6 shaded. The right is 4 parts. Wait, $6/8 = 3/4$? Wait, no, the visual: left is 8 parts, 6 shaded. Right is 4 parts. Wait, $6 \div 2 = 3$, $8 \div 2 = 4$? But the right has 4 parts? Wait, no, the right rectangle has 4 parts? Wait, the left is 8 horizontal parts, 6 shaded. The right is 4 horizontal parts. So $6/8 = 3/4$? Wait, no, maybe I miscount. Wait, $6/8$ simplifies to $3/4$? Wait, no, $6 \div 2 = 3$, $8 \div 2 = 4$. So $\frac{6}{8} = \frac{3}{4}$? Wait, but the right has 4 parts? Wait, the right rectangle has 4 parts? Let me check again. The left is 8 parts (vertical? No, horizontal). 6 shaded. The right is 4 horizontal parts. So to get from 8 to 4, divide by 2. So 6 ÷ 2 = 3. So shade 3 of 4? Wait, no, the right has 4 parts? Wait, the problem’s right rectangle: let me re-examine. The left is 8 parts (6 shaded), right is 4 parts. So $\frac{6}{8} = \frac{3}{4}$? Wait, no, maybe the right has 4 parts? Wait, no, the original problem: 3) $\frac{6}{8} = $, left is 8 parts (6 shaded), right is 4 parts. So equivalent fraction: $\frac{6 \div 2}{8 \div 2} = \frac{3}{4}$? Wait, but the right has 4 parts, so shade 3? Wait, maybe I made a mistake. Wait, $6/8 = 3/4$? Wait, no, $6/8$ reduces to $3/4$? Wait, yes, because GCD(6,8)=2. So $\frac{6}{8} = \frac{3}{4}$.

Problem 4: $\boldsymbol{\frac{1}{3} = ?}$

Answer:

s:

1. $\boldsymbol{\frac{4}{10}}$
2. $\boldsymbol{\frac{1}{2}}$
3. $\boldsymbol{\frac{3}{4}}$
4. $\boldsymbol{\frac{2}{6}}$
5. $\boldsymbol{\frac{2}{3}}$
6. $\boldsymbol{\frac{0}{4}}$ (or $0$)
7. $\boldsymbol{\frac{1}{3}}$
8. $\boldsymbol{\frac{2}{10}}$
9. $\boldsymbol{\frac{6}{10}}$