Albert walks 4/5 of a mile in 5/12 of an hour. Which expression can be used to find his unit rate in miles per hour?
Let's simplify each expression:
1. 4/5 - 5/12
To subtract fractions, we need a common denominator. The least common multiple of 5 and 12 is 60. So, we need to rewrite the fractions:
(4/5)*(12/12) - (5/12)*(5/5)
= 48/60 - 25/60
= (48 - 25)/60
= 23/60
2. 5/12 x 4/5
To multiply fractions:
(5/12)*(4/5)
= 20/60
= 1/3
3. 5/12 ÷ 4/5
To divide fractions, we multiply by the reciprocal of the second fraction:
(5/12) * (5/4)
= 25/48
4. 4/5 ÷ 5/12
Similarly, for this division:
(4/5) * (12/5)
= 48/25
Therefore,
1. 4/5 - 5/12 = 23/60
2. 5/12 x 4/5 = 1/3
3. 5/12 ÷ 4/5 = 25/48
4. 4/5 ÷ 5/12 = 48/25
To find Albert's unit rate in miles per hour, we can use the expression:
(4/5 miles) / (5/12 hours) = (4/5) / (5/12) = (4/5) * (12/5) = 48/25
Therefore, Albert's unit rate is 48/25 miles per hour.
Which expression
4/5-5/12
5/12x4/5
5/12 divided by 4/5
4/5 divided by 5/12