Calculate Total Fractions: Adding 5/6 and 1/8 of a Whole

Daniela bought a large bag of chips

On the first day she ate

$\frac{5}{6}$ of the bag.

On the second day she ate $\frac{1}{8}$ of the bag.

What total part of the bag did she eat?

Video Solution

Solution Steps

00:00 Calculate the total consumed part from the drink

00:05 Connect between the consumed parts according to the given data

00:09 We want to find the smallest common denominator

00:12 Multiply the fractions by 3 and 4 respectively, to find the common denominator

00:15 Remember to multiply both numerator and denominator

00:26 Calculate the multiplications

00:35 Connect under the common denominator

00:41 Calculate the numerator

00:46 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll add the fractions representing the parts of the bag Daniela ate each day.

Step 1: Identify the fractions.

Step 2: Find a common denominator for the two fractions. The denominators are 6 and 8. The least common multiple (LCM) of 6 and 8 is 24.

Step 3: Convert each fraction to have the common denominator of 24.

Convert $\frac{5}{6}$ to ?/24: $\frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24}$
Convert $\frac{1}{8}$ to ?/24: $\frac{1}{8} = \frac{1 \times 3}{8 \times 3} = \frac{3}{24}$

Step 4: Add the converted fractions.

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

Step 5: Confirm that this result fits within the options provided. The correct answer matches choice 4.

Therefore, the total part of the bag Daniela ate is $\frac{23}{24}$ .