Class 6 math Fraction Q1 D part @classes6782

Adding Fractions and Time: Understanding 35 Minutes and 4 1/2 Hours

Question: How do we add 35 minutes and 4 1/2 hours together?

Step-by-Step Solution:

When dealing with fractions and time, it’s important to make sure that all measurements are in the same unit. In this problem, we have minutes and hours, so first, we need to convert everything to minutes.

What is 4 1/2 Hours in Minutes?

1 hour = 60 minutes.

So, to convert 4 1/2 hours into minutes:

Step 1: Convert the whole number 4 hours into minutes: $4 \times 60 = 240 \text{ minutes}$

Step 2: Convert the fraction 1/2 hour into minutes: $\frac{1}{2} \times 60 = 30 \text{ minutes}$

Adding these gives: $240 \text{ minutes} + 30 \text{ minutes} = 270 \text{ minutes}$

So, 4 1/2 hours is equal to 270 minutes.

Now, Let’s Add 35 Minutes:

We need to add 35 minutes to the 270 minutes:

$270 \text{ minutes} + 35 \text{ minutes} = 305 \text{ minutes}$

Converting Back to Hours and Minutes:

Since 1 hour = 60 minutes, we can convert 305 minutes back into hours and minutes.

Step 1: Divide 305 by 60: $305 \div 60 = 5 \text{ hours remainder } 5 \text{ minutes}$

This means: 305 minutes = 5 hours and 5 minutes.

Final Answer:

The total time is 5 hours and 5 minutes.

Understanding the Process:

• Fractions in Time: When fractions are part of time, like 1/2 hour, we can convert them into minutes for easier calculations.
• Mixed Numbers: A number like 4 1/2 is a mixed number. It combines a whole number (4) with a fraction (1/2).
• Conversions: By converting hours to minutes, we simplify our work.