Questions: Bernie has to write a report. He will write 3/8 of the report on Monday and 1/3 of the report on Tuesday. How much of the report will he have written by the end of Tuesday?

Bernie has to write a report. He will write 3/8 of the report on Monday and 1/3 of the report on Tuesday. How much of the report will he have written by the end of Tuesday?

Transcript text: Bernie has to write a report. He will write $\frac{3}{8}$ of the report on Monday and $\frac{1}{3}$ of the report on Tuesday. How much of the report will he have written by the end of Tuesday?

Solution

Solution Steps

Step 1: Identify the fractions to be added

Bernie writes $\frac{3}{8}$ of the report on Monday and $\frac{1}{3}$ of the report on Tuesday. To find the total portion written by the end of Tuesday, we need to add these two fractions.

Step 2: Find a common denominator

The denominators of the fractions are 8 and 3. The least common denominator (LCD) of 8 and 3 is 24.

Step 3: Convert the fractions to have the common denominator

Convert $\frac{3}{8}$ and $\frac{1}{3}$ to fractions with denominator 24: \[ \frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24} \] \[ \frac{1}{3} = \frac{1 \times 8}{3 \times 8} = \frac{8}{24} \]

Step 4: Add the fractions

Now, add the two fractions: \[ \frac{9}{24} + \frac{8}{24} = \frac{17}{24} \]