Lester jogs 5 3/4 miles each day that he jogs. Last month, he jogged a total of 115 miles. How many days did he jog Last month?
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20
115 / 5.75 = _______ days
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To find the number of days Lester jogged last month, we can divide the total distance he jogged by the distance he jogs each day.
Step 1: Convert the mixed number to an improper fraction.
The mixed number 5 3/4 can be written as an improper fraction: 4/4 + 3/4 = 7/4.
Step 2: Divide the total distance by the daily distance.
115 miles ÷ 7/4 miles = 115 miles × 4/7 miles.
Step 3: Simplify the fraction and divide.
115 miles × 4/7 miles = 460/7 miles.
Step 4: Determine the number of days.
Since Lester jogs 5 3/4 miles each day, we divide the total distance (460/7 miles) by the daily distance (5 3/4 miles).
460/7 miles ÷ 5 3/4 miles ≈ (460/7) / (23/4) miles.
To divide by a fraction, we can multiply by its reciprocal:
≈ (460/7) × (4/23) miles.
≈ (460 × 4) / (7 × 23) miles.
≈ 1840 / 161 miles.
Since 1840 is not divisible by 161, we cannot get an exact whole number of days. Therefore, Lester jogged approximately 11.43 (1840/161) days last month.
Since we cannot have a fraction of a day, we need to round our answer to the nearest whole number.
Therefore, Lester jogged approximately 11 days last month.