Question
Anna and Julia each take a bicycle trip. Anna rides 20 miles in 1 1/3 hours. Julia rides 246 miles in 16 hours. Which has slower unit rate? By how much?
Answers
jai
recall that speed or rate is distance traveled over time, or:
speed, v = d/t
thus, you compare Anna's speed and Julia's speed:
Anna: v = 20/(1 1/3)
Julia: v = 246/(16)
*note: first convert mixed number to improper fraction before dividing.
hope this helps. :)
speed, v = d/t
thus, you compare Anna's speed and Julia's speed:
Anna: v = 20/(1 1/3)
Julia: v = 246/(16)
*note: first convert mixed number to improper fraction before dividing.
hope this helps. :)
Lilly
so it would e 20/4 over 3? I don't get how I would divide that from 246/16
jai
it's 20/(4/3),, first simplify this,,
Lilly
how do you simifly that?
jai
when dividing a number by a fraction, first get the reciprocal of the fraction,,
*to get reciprocal: you just interchange the numerator and denominator, thus:
reciprocal of 4/3 = 3/4
now the operation becomes multiplication instead of division:
20 * (3/4)
i think you know how to do this. :)
let me see your work.
*to get reciprocal: you just interchange the numerator and denominator, thus:
reciprocal of 4/3 = 3/4
now the operation becomes multiplication instead of division:
20 * (3/4)
i think you know how to do this. :)
let me see your work.
Lilly
which is 12? Then do I divide 12 and 246/16?
jai
nope, it's not 12,,
remember that a whole number can be written to:
20 = 20/1
now,
20/1 * 3/4 = ?
..and we will not divide the answer by 246/16,, we will just compare them.
first, let me see your answer.
remember that a whole number can be written to:
20 = 20/1
now,
20/1 * 3/4 = ?
..and we will not divide the answer by 246/16,, we will just compare them.
first, let me see your answer.
Lilly
Well 20 times 3 is 60
1 times 4 is 4
60/4
1 times 4 is 4
60/4
jai
you're on the right track,,
now, what is 60/4 ?
now, what is 60/4 ?
Lilly
15/1
jai
right~! :)
now, we simplify 246/16,,
since the numerator and denominator have a common factor 2, we can cancel it out:
(2*123)/(2*8) = 123/8
123/8 is in simplest form,, now change this to mixed number.
now, we simplify 246/16,,
since the numerator and denominator have a common factor 2, we can cancel it out:
(2*123)/(2*8) = 123/8
123/8 is in simplest form,, now change this to mixed number.
Lilly
15 3/8
jai
yes, that's right~! :)
now comparing the speed:
Anna: 15
Julia: 15 3/8
which of the two is slower (or has smaller speed)?
then, "by how much" means you will get the difference:
15 3/8 - 15 = ?
now comparing the speed:
Anna: 15
Julia: 15 3/8
which of the two is slower (or has smaller speed)?
then, "by how much" means you will get the difference:
15 3/8 - 15 = ?
Lilly
3/8
jai
nope,, 15 3/8 is greater than 15,,
it's like you have 15 whole pizza plus 3 slices, while the other has only 15 whole pizzas, that's why,
15 3/8 > 15
then, "by how much" means you will get the difference:
15 3/8 - 15 = ?
it's like you have 15 whole pizza plus 3 slices, while the other has only 15 whole pizzas, that's why,
15 3/8 > 15
then, "by how much" means you will get the difference:
15 3/8 - 15 = ?
jai
oh, i see you already have an answer,,
right. the difference is 3/8 m/s. :)
right. the difference is 3/8 m/s. :)
me
the answer is obvious, do math
Amino
Anna and Julia each take a bicycle trip. Anna rides 20 miles in 1 1/3 hours. Julia rides 246 miles in 16 hours. Which has slower unit rate? By how much?
.......
DO MATH BOI?????
LOL
LOL
Why so rude
Hey please chill some of us dont even remember 1 + 1