Fraction Subtraction Problem: Finding Remaining Amount After 5/6 and 1/8 Consumption

Daniela bought a large package of potato chips

On the first day, she ate $\frac{5}{6}$ of the package

On the second day, she ate $\frac{1}{8}$ of the package

On the third day, how much does she have left to eat?

Video Solution

Solution Steps

00:00 Found the remaining part in the bag

00:04 We want to find the total eaten part and subtract it from the whole

00:07 We'll combine the eaten parts according to the given data

00:10 We want to find the smallest common denominator

00:14 We'll multiply the fractions by 3 and 4 respectively to find the common denominator

00:17 Remember to multiply both numerator and denominator

00:26 Let's calculate the multiplications

00:39 We'll add under the common denominator

00:42 Let's calculate the numerator

00:45 This is the part that was eaten from the bag

00:56 Now we'll subtract this part from the whole to find the remaining part

01:06 We'll convert whole to fraction

01:16 We'll add under the common denominator

01:20 Let's calculate the numerator

01:26 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll proceed with the following steps:

Step 1: Addition of Fractions
Combine the fractions of chips eaten on both days:

$\frac{5}{6} + \frac{1}{8}$

Find a common denominator for the fractions. The least common multiple of 6 and 8 is 24. Convert each fraction:

$\frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24}$

$\frac{1}{8} = \frac{1 \times 3}{8 \times 3} = \frac{3}{24}$

Add the converted fractions:

$\frac{20}{24} + \frac{3}{24} = \frac{20 + 3}{24} = \frac{23}{24}$

This means Daniela ate $\frac{23}{24}$ of the package.

Step 2: Subtract from the whole
The whole package is represented by 1. To find out how much is left, subtract what she ate from 1:

$1 - \frac{23}{24} = \frac{24}{24} - \frac{23}{24} = \frac{1}{24}$

Therefore, the solution to the problem is that Daniela has $\frac{1}{24}$ of the package left to eat.