Determine if 5/8 and 15/24 are equivalent ratios (yes)

Write the ratio of circles to squares. Make sure you simplify (2/1?)

Sam is training for a cross country event. It takes her 56 minutes to run 8 miles. What is the unit rate of minutes per mile?

What is 3/5 ÷ 2/3 ? Always answer in lowest terms (simplify)

Ryan is painting a large butterfly mural on a wall. It takes him 2 hours to paint 1/5 of the wall. How long will it take him to complete the mural

3 answers

To determine if 5/8 and 15/24 are equivalent ratios, we can simplify both ratios.

To simplify 5/8, we divide both the numerator and denominator by their greatest common divisor, which is 1. This gives us 5/8.

To simplify 15/24, we can divide both the numerator and denominator by their greatest common divisor, which is 3. This gives us 5/8.

Since both ratios simplify to 5/8, they are indeed equivalent.

The ratio of circles to squares is 2 to 1 when simplified.

To find the unit rate of minutes per mile, divide the total time (in minutes) by the total distance (in miles). In this case, the unit rate is 56 minutes/8 miles, which can be simplified to 7 minutes/mile.

To divide 3/5 by 2/3, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 2/3 is 3/2. So, we have (3/5) * (3/2) = 9/10.

Since Ryan paints 1/5 of the wall in 2 hours, we need to find out how long it will take him to complete the entire wall. Since he paints 1/5 of the wall in 2 hours, he will need 5 times that amount of time to complete the entire wall. So, it will take him 2 * 5 = 10 hours to complete the mural.
for the circle one 2/1 IS correct
Apologies for the mistake. Yes, you are correct. The ratio of circles to squares is indeed 2/1 when simplified. Thank you for pointing that out.