Mario was on a 21-mile hiking trail.He walked 3/7 of the trail before stopping for lunch.How far did he walk before lunch? Explain your answer
The problem is solved by proportions:
7/7 of 21 miles is 21 miles
3/7 of 21 miles is 21*3/7=9 miles
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To find out how far Mario walked before stopping for lunch, we need to calculate 3/7 of the total trail distance.
To do this, we multiply the total distance of the trail by the fraction 3/7:
Total distance of the trail: 21 miles
Fraction of the trail Mario walked: 3/7
Distance walked before lunch = Total distance of the trail × Fraction of the trail Mario walked
Distance walked before lunch = 21 x (3/7) miles
Now, we can simplify the fraction 3/7 by dividing the numerator (3) by the denominator (7):
Distance walked before lunch = 21 x (3 ÷ 7) miles
= 21 x (0.4286) miles
= 9 miles (rounded to the nearest whole number)
Therefore, Mario walked approximately 9 miles before stopping for lunch.