Question

anna and abbie are sharing a bowl of popcorn. anna ate \\(\frac{3}{8}\\) of the popcorn and abbie ate \\(\frac{1}{8}\\) of the popcorn.\
part a:\
write an equation that will solve how much popcorn the 2 girls ate together.\
part b:\
using the equation you wrote in part a, how much of the popcorn did the girls eat? write your answer in lowest terms.

Explanation:

Part A:

Step1: Define total eaten amount

Let $T$ = total popcorn eaten together.

Step2: Add individual portions

$T = \frac{3}{8} + \frac{1}{8}$

Part B:

Step1: Sum the numerators

Since denominators are equal, add numerators:
$T = \frac{3+1}{8}$

Step2: Simplify the fraction

Reduce $\frac{4}{8}$ to lowest terms:
$T = \frac{4\div4}{8\div4} = \frac{1}{2}$

Answer:

Part A: $\boldsymbol{T = \frac{3}{8} + \frac{1}{8}}$
Part B: $\boldsymbol{\frac{1}{2}}$