# Fractions with Finch

In this activity, you will use the Finch to practice what you know about fractions. Start by writing a short program to make the Finch turn in a circle with one wheel at speed 0 and the other at speed 30. How many seconds does it take for the Finch to make exactly one circle?

Next, think about making the robot move a fraction of a circle. Which fraction do you think is bigger, $\inline&space;\fn_phv&space;\large&space;\frac{3}{7}$ or $\inline&space;\fn_phv&space;\large&space;\frac{5}{6}$ ? Write down your prediction and your reasoning.

Calculate the number of seconds for the Finch to turn $\inline&space;\fn_phv&space;\large&space;\frac{3}{7}$ of a circle. Then write a program to check your answer with the Finch.

Calculate the number of seconds for the Finch to turn $\inline&space;\fn_phv&space;\large&space;\frac{5}{6}$ of a circle. Then write a program to check your answer with the Finch.

Which fraction is bigger, $\inline&space;\fn_phv&space;\large&space;\frac{3}{7}$ or $\inline&space;\fn_phv&space;\large&space;\frac{5}{6}$ ? Was your prediction correct?

For your next program, the Finch should make three smaller turns that make up one full circle. Each of the smaller turns must be $\inline&space;\fn_phv&space;\large&space;\frac{1}{3}$ of the circle. This program represents the problem shown below.

$\inline&space;\fn_phv&space;\frac{1}{3}+\frac{1}{3}+\frac{1}{3}=1$

Solve the problem below, and write a Finch program to represent it.

$\inline&space;\fn_phv&space;\large&space;\frac{1}{2}+\frac{1}{4}=?$

Standards:
This activity is aligned with Common Core math standards 4.NF.A, 4.NF.B, and 5.NF.A.