Ellie and her family are driving to her grandmother’s house. The drive takes 2 4/5 h total. Ellie and her family have completed 3/5 of the drive.
About how many hours have Ellie and her family been driving?
Estimate by first rounding each number to the nearest 1/2 .
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Look at the fraction 4/5 which is part of the mixed numeral 2 4/5.
Is 4/5 closer to 1/2 or to 1?
The mixed numeral 2 4/5 is the same as 2 + 4/5.
Since 4/5 is closer to 1 than to 1/2, and the problem tells you to first round off the numbers to the nearest 1/2, then we use 1 for 4/5.
That means that 2 4/5 should be rounded to 2 + 1.
What is 2 + 1?
Not the answer you are looking for? Search for more explanations.
Great. In our estimation, we will use 3 for 2 4/5.
Now we need to deal with 3/5.
Is 3/5 closer to 1 or to 1/2?
Look at the drawing above.
1/2 = 0.5
3/5 = 0.6
1 = 1
You can see that 3/5, which is the same as 0.6 is only 0.1 from 1/2.
Also, you see that 3/5 = 0.6 is 0.4 from 1.
Clearly, 3/5 is closer to 1/2 than to 1.
Do you understand the above explanation of how 3/5 is closer to 1/2 than to 1?
Look at 3/5 and 1/2 and 1 on a number line.
Again, you see that 3/5 is much closer to 1/2 than to 1.
so whats the answer
Also, remember the 4/5 we used before.
4/5 = 0.8. The number line confirms that 4/5 is closer to 1 than to 1/2.
You were correct before.
i am a bit confused
Now we know to use 3 for 2 4/5, and we know to use 0.5 for 3/5.
To estimate 2 4/4 * 3/5, we will do
3 * 0.5
What is half of 3?
No. 2.5 is half of 5.
We need half of 3.
Our estimate of 2 4/5 * 3/5 is 1.5
1.5 is a decimal. As a mixed numeral it is 1 1/2
Our estimate is 1 1/2 hours