Question

Three days last week Maria ran 3/4 mile 7/8 Mile and 3/5 mile list of distances in order from least to greatest

Answer 1

I was taught to get a common denominator and then arrange them in the correct order.

So first you find out what all the denominations can be multiplied to. That would be 40

So you multiply the bottom of each fraction by a number that will get 40.

3/4 * 10 = 30/40

7/8 * 5 = 35/40

3/5 * 8 = 24/40

Then you get 30/40, 35/40, and 24/40.

Then you organize the m.

24/40, 30/40, and 35/40

Answer 2

Distances in order from least to greatest:

`,(3)/(5)<(3)/(4)<(7)/(8)`

Explanation:

Three days last week Maria ran 3/4 mile 7/8 Mile and 3/5 mile.

`(3)/(4),(7)/(8),(3)/(5)`

In order to determine which distance is greater and which one is shorter we will make the denominators common of all the fractions.

Take LCM of 4,8,5; 2 × 2 × 2 × 5 = 40

`(3* 10)/(4* 10),(7* 5)/(8* 5),(3* 8)/(5* 8)`

`(30)/(40),(35)/(40),(24)/(40)`

As now the denominators are common we can easily arrange them in order from least to greatest.

`(24)/(40)<(30)/(40)<(35)/(40)`

Distances in order from least to greatest:

`,(3)/(5)<(3)/(4)<(7)/(8)`