Stacey worked on her garden for 4 3/4 hours. Josh worked on his garden 2/3 times as long as Stacey. Vicki worked on her garden 1 3/8 times as long as Stacey. Select True or False for each statement. Stacey worked longer on her garden than Josh worked on his garden.

but what is the answer?

but what is the answer

Here is another question. Find the product to the following question: It took Mary Lou 5/6 hours to write a report for English class. It took Heather 9/10 as much time to write her report as it took Mary Lou. How did it take Heather to write her report?(This is a multi-step problem 1hr = 60mins)

To compare the amount of time Stacey worked on her garden to the amount of time Josh worked on his garden, we need to find how long Josh worked in relation to Stacey.

Given that Josh worked 2/3 times as long as Stacey, we can calculate the time Josh worked by multiplying Stacey's time by 2/3.

Stacey's time: 4 3/4 hours
Josh's time: (2/3) * (4 3/4) hours

To calculate Josh's time, we can first convert the mixed number 4 3/4 to an improper fraction.

4 3/4 hours = (4 * 4 + 3) / 4 hours = 19/4 hours

Now we can plug in this value into the equation:

Josh's time: (2/3) * (19/4) hours = (2/3) * (19/4) hours

To multiply fractions, multiply the numerators and denominators separately:

Josh's time: (2 * 19) / (3 * 4) hours = 38/12 hours

We can simplify this fraction by finding the greatest common divisor (GCD) of 38 and 12, which is 2:

Josh's time: (38/2) / (12/2) hours = 19/6 hours

Now that we have calculated Josh's time to be 19/6 hours, we can compare it to Stacey's time of 4 3/4 hours.

Stacey's time: 4 3/4 hours
Josh's time: 19/6 hours

To make the comparison easier, we can convert the mixed number 4 3/4 to an improper fraction:

4 3/4 hours = (4 * 4 + 3) / 4 hours = 19/4 hours

Now we can compare the fractions:

Stacey's time: 19/4 hours
Josh's time: 19/6 hours

Comparing the fractions, we can see that 19/4 is greater than 19/6. Therefore, the statement "Stacey worked longer on her garden than Josh worked on his garden" is TRUE.

Just do the arithmetic

Stacey worked for 4 3/4 hours or 19/4 hours
Josh worked 2/3 of that ..... (2/3)(19/4) = 19/6 hours
vicki worked 1 3/8 times Stacey ===> (11/8)(19/4) = 209/32 hours

19/4 hours = 4.75 hours
19/6 hours = 3.17 hours
209/32 .....

compare their times