Question

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
1.4 yards : 2.1 yards

Answer 1

Ryan runs 6 miles in 50 minutes. At the same rate, how many miles would he run in 35 minutes?

Answer 2

To write the ratio 1.4 yards to 2.1 yards as a fraction in simplest form, we need to divide both the numerator and denominator by their greatest common divisor.

The greatest common divisor of 1.4 and 2.1 is 0.7.

Dividing 1.4 by 0.7, we get 2.
Dividing 2.1 by 0.7, we get 3.

Therefore, the ratio 1.4 yards to 2.1 yards can be simplified to the fraction 2/3.

Answer 3

To find out how many miles Ryan would run in 35 minutes at the same rate as he did for 50 minutes, we need to set up a proportion.

The proportion can be set up as:

6 miles / 50 minutes = x miles / 35 minutes

To solve for x, we can cross-multiply:

50 minutes * x miles = 6 miles * 35 minutes

50x = 210

Now, we can solve for x by dividing both sides of the equation by 50:

x = 210 / 50

Simplifying the fraction, we get:

x = 4.2

Therefore, Ryan would run approximately 4.2 miles in 35 minutes at the same rate he did for 50 minutes.