Question

Can u please help in 30 mins

Answer 1

`\sf 3\:(1)/(5)\;miles`

Explanation:

To find the total distance Eloise rides her bike, we need to add the distances she rode on Wednesday and Thursday.

First, convert the mixed numbers into improper fractions by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator.

`\sf Wednesday: \quad 1 (7)/(10)\; miles=(1 \cdot 10+7)/(10)=(17)/(10)\; miles`

`\sf Thursday: \quad 1 (5)/(10)\; miles=(1 \cdot 10+5)/(10)=(15)/(10)\; miles`

Add the two distances together.

As the denominators of the two fractions are the same, we simply add the numerators:

`\sf (17)/(10)+(15)/(10)=(17+15)/(10)=(32)/(10)`

Simplify the improper fraction by dividing the numerator and denominator by 2:

`\sf (32 / 2)/(10 / 2)=(16)/(5)`

Convert the improper fraction into a mixed number by dividing the numerator by the denominator:

`\sf (16)/(5)=3\;remainder \;1`

The mixed number answer is the whole number and the remainder divided by the denominator:

`3(1)/(5)`

Therefore, Eloise rides her bike a total of 3 1/5 miles.