Studdy AI Logo
Math

QuestionHow much longer is Tammy's drive (23\frac{2}{3} hour) than Nina's (14\frac{1}{4} hour)? Answer as a fraction or mixed number.

Studdy Solution

STEP 1

Assumptions1. Tammy's drive to work is /3 /3 of an hour. Nina's drive to work is 1/41 /4 of an hour

STEP 2

To find out how much longer Tammy's drive is than Nina's, we need to subtract Nina's drive time from Tammy's drive time.
Difference=Tammy′s drive time−Nina′s drive timeDifference = Tammy's\, drive\, time - Nina's\, drive\, time

STEP 3

Now, plug in the given values for Tammy's drive time and Nina's drive time to calculate the difference.
Difference=23 hour−1 hourDifference = \frac{2}{3}\, hour - \frac{1}{}\, hour

STEP 4

To subtract these fractions, we need to find a common denominator. The least common denominator (LCD) of3 and4 is12.

STEP 5

Convert both fractions to have the common denominator.
23=2×43×4=812\frac{2}{3} = \frac{2 \times4}{3 \times4} = \frac{8}{12}14=1×34×3=312\frac{1}{4} = \frac{1 \times3}{4 \times3} = \frac{3}{12}

STEP 6

Subtract the two fractions.
Difference=812−312Difference = \frac{8}{12} - \frac{3}{12}

STEP 7

Calculate the difference.
Difference=12−312=512Difference = \frac{}{12} - \frac{3}{12} = \frac{5}{12}Tammy's drive is 512\frac{5}{12} hour longer than Nina's.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord