QuestionA larger frog is $6 \frac{4}{5}$ times a small frog that is $\frac{5}{6}$ inch long. Find the larger frog's length in inches.

Studdy Solution

STEP 1

Assumptions1. The small frog is $\frac{5}{6}$ inch long. . The larger frog is $6 \frac{4}{5}$ times as long as the small frog.

STEP 2

First, we need to convert the mixed number $6 \frac{4}{5}$ to an improper fraction. The formula to convert a mixed number to an improper fraction is $\text{Improper Fraction} = \text{(Whole Number)} \times \text{(Denominator)} + \text{(umerator)}$

STEP 3

Now, plug in the given values for the whole number, denominator, and numerator to calculate the improper fraction.
$\text{Improper Fraction} =6 \times5 +$

STEP 4

Calculate the improper fraction.
$\text{Improper Fraction} =6 \times +4 =34$ So, $6 \frac{4}{}$ is equivalent to $\frac{34}{}$ .

STEP 5

Now, we can find the length of the larger frog by multiplying the length of the small frog by the length ratio.
$\text{Length of larger frog} = \text{Length of small frog} \times \text{Length ratio}$

STEP 6

Plug in the values for the length of the small frog and the length ratio to calculate the length of the larger frog.
$\text{Length of larger frog} = \frac{5}{6} \times \frac{34}{5}$

STEP 7

Multiply the fractions.
$\text{Length of larger frog} = \frac{5}{6} \times \frac{34}{5} = \frac{170}{30}$

STEP 8

implify the fraction to get the length of the larger frog in simplest form.
$\text{Length of larger frog} = \frac{170}{30} = \frac{17}{3} =5 \frac{2}{3}$ The larger frog is $5 \frac{2}{3}$ inches long.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

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

Parents Influencer program Contact Policy Terms