Question

4 challenge how many minutes are there in the following fractions of an hour?
$\frac{2}{4}$ of an hour
$\frac{3}{4}$ of an hour
$\frac{1}{3}$ of an hour
$\frac{1}{6}$ of an hour
$\frac{5}{6}$ of an hour
$\frac{1}{12}$ of an hour
$\frac{2}{3}$ of an hour
$\frac{5}{12}$ of an hour

Explanation:

To solve the problem of finding how many minutes are in a fraction of an hour, we use the fact that 1 hour = 60 minutes. We multiply each fraction by 60 to get the number of minutes.

1. $\boldsymbol{\frac{2}{4}}$ of an hour

Step 1: Multiply the fraction by 60

$\frac{2}{4} \times 60$

Step 2: Simplify the fraction

$\frac{2}{4} = \frac{1}{2}$, so $\frac{1}{2} \times 60 = 30$

2. $\boldsymbol{\frac{3}{4}}$ of an hour

Step 1: Multiply the fraction by 60

$\frac{3}{4} \times 60$

Step 2: Calculate the product

$\frac{3 \times 60}{4} = \frac{180}{4} = 45$

3. $\boldsymbol{\frac{1}{3}}$ of an hour

Step 1: Multiply the fraction by 60

$\frac{1}{3} \times 60$

Step 2: Calculate the product

$\frac{60}{3} = 20$

4. $\boldsymbol{\frac{1}{6}}$ of an hour

Step 1: Multiply the fraction by 60

$\frac{1}{6} \times 60$

Step 2: Calculate the product

$\frac{60}{6} = 10$

5. $\boldsymbol{\frac{5}{6}}$ of an hour

Step 1: Multiply the fraction by 60

$\frac{5}{6} \times 60$

Step 2: Calculate the product

$\frac{5 \times 60}{6} = \frac{300}{6} = 50$

6. $\boldsymbol{\frac{1}{12}}$ of an hour

Step 1: Multiply the fraction by 60

$\frac{1}{12} \times 60$

Step 2: Calculate the product

$\frac{60}{12} = 5$

7. $\boldsymbol{\frac{2}{3}}$ of an hour

Step 1: Multiply the fraction by 60

$\frac{2}{3} \times 60$

Step 2: Calculate the product

$\frac{2 \times 60}{3} = \frac{120}{3} = 40$

8. $\boldsymbol{\frac{5}{12}}$ of an hour

Step 1: Multiply the fraction by 60

$\frac{5}{12} \times 60$

Step 2: Calculate the product

$\frac{5 \times 60}{12} = \frac{300}{12} = 25$

Answer:

s:

• $\frac{2}{4}$ of an hour: 30 minutes
• $\frac{3}{4}$ of an hour: 45 minutes
• $\frac{1}{3}$ of an hour: 20 minutes
• $\frac{1}{6}$ of an hour: 10 minutes
• $\frac{5}{6}$ of an hour: 50 minutes
• $\frac{1}{12}$ of an hour: 5 minutes
• $\frac{2}{3}$ of an hour: 40 minutes
• $\frac{5}{12}$ of an hour: 25 minutes