mr.flanders drives 1 2/3 miles to school and 1 2/3 miles home each day.he also drives an extra 2 2/7 miles to go to the gym.how many miles does he drive in one day?
1 2/3 + 1 2/3 + 2 2/7 + 2 2/7 = ?
Change the fractions to equivalent fractions with a denominator of 21.
It is 4 and 6/13
To find out how many miles Mr. Flanders drives in one day, we need to sum up the distance he drives to school, then back home, and then to the gym.
First, let's calculate the total distance to school and back home: 1 2/3 miles + 1 2/3 miles.
To add the fractions, we need to have a common denominator. Since both fractions already have a denominator of 3, we can skip this step. Now, we can simply add the numerators: 1 + 1 = 2.
Thus, the total distance to school and back home is 2 + 2/3 miles.
Next, we add the extra distance to the gym: 2 2/7 miles.
To add mixed numbers and fractions, we need to convert the mixed number into an improper fraction. In this case, it becomes (7 * 2 + 2) / 7 = 16/7 miles.
Now, we can sum up the total distance: (2 + 2/3) + 16/7 miles.
To add these fractions, we need a common denominator for 3 and 7, which is 21. So, we convert 3 to a fraction with a denominator of 21: (3 * 7) / (3 * 7) = 21/21 = 1.
Now, we can rewrite the equation: (2 + 2/3) + 16/7 = (2 * 21/21 + 2/3 * 7/7) + 16/7
= (42/21 + 14/21) + 16/7
= (56/21) + 16/7.
Next, we need to add these fractions with the same denominator: (56/21) + (16/7) = 72/21.
Finally, we simplify the fraction. The greatest common divisor of 72 and 21 is 3, so we divide both the numerator and denominator by 3: (72/3) / (21/3) = 24/7 miles.
Therefore, Mr. Flanders drives a total of 24/7 miles in one day.