Question

Hello, people, can you help me please if you get it right I will give you the CROWN

Answer 1

Option A

Explanation:

Given:

• 1 inch = 125 miles

To avoid confusion, let's convert 2 3/4 into decimals. To convert a fraction into decimals, multiply and divide the fraction by 100.

⇒ (2 3/4 x 100)/100 = (11/4 x 100)/100 = (1100/4)/100 = 275/100 = 2.75

Now, multiply 2.75 to both sides of the equation "1 inch = 125 miles", as we need to find the actual distance of 2.75 inches

⇒ 1 inch = 125 miles

⇒ 1 × 2.75 = 125 × 2.75

⇒ 2.75 inches = 343.75 miles

The options given are in fraction form. So, we need to reconvert 343.75 into fraction form. Once again, multiply and divide the decimal by 100.

⇒ (343.75 × 100)/100 = (34375)/100

We can clearly tell that this is a mixed fraction because 34375 is greater than 100. To convert this fraction into mixed fraction, let's write the expanded form of this fraction.

⇒ (34375)/100 = 34000/100 + 300/100 + 75/100

⇒ (343 x 100)/100 + 75/100

⇒ 343 + 75/100 = 343 + 3/4

⇒ 343 3/4 miles (Option A)

Answer 2

`\sf 343(3)/(4) \ mi`

1 inch = 125 miles

`\rightarrow \sf 2(3)/(4) \ * \ 125`

`\rightarrow \sf (11)/(4) \ * \ 125`

`\rightarrow \sf (1375)/(4)`

`\rightarrow \sf 343(3)/(4) \ mi`