Elena was running a course 7/8 of a mile long. She stopped 2/3 of the way through to drink some water. How far had she run at that point? Write the answer in simplest form.
To find how far Elena had run, we need to multiply the length of the course by the fraction of the way she had run before stopping.
The fraction of the way Elena had run is 2/3, and the length of the course is 7/8 of a mile.
Thus, Elena had run (2/3) * (7/8) = 14/24 = 7/12 of a mile before stopping.
Therefore, Elena had run 7/12 of a mile at that point.
Lara spends 1 3/4 hours working out. She spends 2/5 of the time doing stretching exercises. How much time does she spend doing stretching exercises? Write the answer in simplest form.
To find how much time Lara spends doing stretching exercises, we need to multiply the total time she spends working out by the fraction of the time she spends doing stretching exercises.
Lara spends 1 3/4 hours working out. We can rewrite this as an improper fraction: 1 3/4 = 7/4 hours.
She spends 2/5 of the time doing stretching exercises.
To find how much time Lara spends doing stretching exercises, we can multiply the total time she spends working out by 2/5: (7/4) * (2/5) = 14/20 hours.
Since 14/20 can be simplified, divide both the numerator and denominator by their greatest common factor, which is 2: (14/2) / (20/2) = 7/10.
Therefore, Lara spends 7/10 of an hour, or 42 minutes, doing stretching exercises.
Lars has 10 baskets of vegetables. Each basket contains 1 1/2lb of vegetables. What is the total weight of all the vegetables in the baskets? Convert the answer to a mixed number.
Each basket contains 1 1/2 lb of vegetables. We can rewrite this as an improper fraction: 1 1/2 = 3/2.
Lars has 10 baskets of vegetables, so the total weight would be (3/2) * 10 = 30/2 = 15 lb.
The total weight of all the vegetables in the baskets is 15 lb.
To convert this to a mixed number, we divide the numerator (15) by the denominator (2). The quotient is the whole number and the remainder is the numerator of the fraction.
15 divided by 2 is 7 with a remainder of 1, so the mixed number is 7 1/2.
Therefore, the total weight of all the vegetables in the baskets is 7 1/2 lb.
wrong
Apologies for the incorrect response.
If each basket contains 1 1/2 lb of vegetables, and Lars has 10 baskets, we can find the total weight by multiplying the weight per basket by the number of baskets.
The weight per basket is 1 1/2 lb, which is equivalent to 3/2 lb.
So, the total weight of all the vegetables is (3/2) * 10 = 15/2 lb.
To express this as a mixed number, we divide the numerator (15) by the denominator (2).
15 divided by 2 is 7 with a remainder of 1. Thus, the mixed number is 7 1/2.
Therefore, the total weight of all the vegetables in the baskets is 7 1/2 lb.
You just gave me the same answer, it's not 7 1/2
Apologies for the repeated error. Let's correct the calculation:
Each basket contains 1 1/2 lb of vegetables. We can rewrite this as an improper fraction: 1 1/2 = 3/2.
Lars has 10 baskets of vegetables, so the total weight would be (3/2) * 10 = 30/2 = 15 lb.
The total weight of all the vegetables in the baskets is 15 lb.
To convert this to a mixed number, we divide the numerator (15) by the denominator (2). The quotient is the whole number and the remainder is the numerator of the fraction.
15 divided by 2 is 7 with a remainder of 1, so the mixed number is 7 1/2.
Therefore, the total weight of all the vegetables in the baskets is 15 lb or 7 1/2 lb.