Prairie Street is 3 7/8
miles long. Plains Avenue is 3 5/10
miles long. Ellis rides his bike the length of both Prairie Street and Plains Avenue. How many total miles does he ride?(1 point)
Responses
6 3/8
7 3/8
3/8
6 7/12
To find the total distance Ellis rides, we need to add the lengths of Prairie Street and Plains Avenue.
Prairie Street is 3 7/8 miles long.
Plains Avenue is 3 5/10 miles long.
First, let's simplify the fractions:
3 7/8 = 31/8
3 5/10 = 35/10
Now, let's add the lengths:
31/8 + 35/10
To add these fractions, we need to find a common denominator. The least common multiple of 8 and 10 is 40.
31/8 = 31/8 * 5/5 = 155/40
35/10 = 35/10 * 4/4 = 140/40
Now we can add the fractions:
155/40 + 140/40 = 295/40
Finally, let's simplify the fraction:
295/40 = 7 3/8
Therefore, Ellis rides a total of 7 3/8 miles.
To find the total distance Ellis rides, you need to add the lengths of Prairie Street and Plains Avenue.
1. Start by converting both lengths to the same unit (e.g., miles).
- Prairie Street is 3 7/8 miles long.
To convert the mixed number 3 7/8 to an improper fraction, you multiply the whole number (3) by the denominator (8) and add the numerator (7). Then, you put the result over the original denominator.
3 * 8 + 7 = 24 + 7 = 31
31/8 is the improper fraction equivalent to 3 7/8.
- Plains Avenue is 3 5/10 miles long.
To convert the mixed number 3 5/10 to an improper fraction, you multiply the whole number (3) by the denominator (10) and add the numerator (5). Then, you put the result over the original denominator.
3 * 10 + 5 = 30 + 5 = 35
35/10 is the improper fraction equivalent to 3 5/10.
2. Now that both lengths are in the same format, you can add them together.
31/8 + 35/10
To add fractions, you need to have a common denominator. In this case, the least common multiple (LCM) of 8 and 10 is 40.
31/8 can be multiplied by 5/5 to have a denominator of 40 (8 * 5 = 40).
35/10 can be multiplied by 4/4 to have a denominator of 40 (10 * 4 = 40).
31/8 + 35/10 = (31 * 5)/(8 * 5) + (35 * 4)/(10 * 4)
= 155/40 + 140/40
Now, you can add the numerators together while keeping the denominator the same.
155/40 + 140/40 = (155 + 140)/40
= 295/40
3. Simplify the fraction, if necessary.
The fraction 295/40 can be simplified by finding a common factor of the numerator and denominator that can be divided by both. In this case, 5 is a common factor.
295/40 ÷ 5/5 = (295 ÷ 5) / (40 ÷ 5)
= 59/8
Therefore, the total distance Ellis rides is 59/8 miles, which can also be expressed as 7 3/8 miles.
Hence, the correct answer is: 7 3/8 miles.
To find the total length that Ellis rides his bike, we need to add the lengths of Prairie Street and Plains Avenue.
Prairie Street is 3 7/8 miles long, and Plains Avenue is 3 5/10 miles long.
First, let's convert 3 7/8 to an improper fraction. To do this, we multiply the whole number 3 by the denominator 8 and add the numerator 7. This gives us 24 + 7 = 31. So, 3 7/8 is equivalent to 31/8.
Next, let's convert 3 5/10 to a fraction with the same denominator of 8. We can do this by multiplying the numerator 3 by 8 and adding the numerator 5 multiplied by 10. This gives us 24 + 50 = 74. So, 3 5/10 is equivalent to 74/10, which simplifies to 37/5.
Now, we can add the two fractions together.
31/8 + 37/5 = (31 * 5 + 37 * 8) / (8 * 5) = (155 + 296) / 40 = 451/40
Therefore, the total length that Ellis rides his bike is 451/40 miles.
However, we can simplify this fraction. 40 can be divided by both 8 and 5.
451 ÷ 5 = 90 remainder 1
1 ÷ 5 = 0 remainder 1
40 ÷ 8 = 5
So, the simplified fraction is 90 1/8.
Therefore, Ellis rides a total of 90 1/8 miles.