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Sagot :
Answer:
[tex]\sf 343\dfrac{3}{4} \ mi[/tex]
1 inch = 125 miles
[tex]\rightarrow \sf 2\dfrac{3}{4} \ * \ 125[/tex]
[tex]\rightarrow \sf \dfrac{11}{4} \ * \ 125[/tex]
[tex]\rightarrow \sf \dfrac{1375}{4}[/tex]
[tex]\rightarrow \sf 343\dfrac{3}{4} \ mi[/tex]
Answer:
Option A
Step-by-step 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)
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