Question

Lee collects 24/100 of the total number of leaves needed ad Maya collects 4/10 of the total number of leaves needed. how many leaves did they collcect together

Answer 1

To find out how many leaves Lee and Maya collected together, we first need to convert their fractions of the total leaves into a common fraction.

1. **Lee's collection**:
- Lee collects \( \frac{24}{100} \).
- This fraction can be simplified. The greatest common divisor (GCD) of 24 and 100 is 4.
- Simplifying gives:
\[
\frac{24 \div 4}{100 \div 4} = \frac{6}{25}
\]

2. **Maya's collection**:
- Maya collects \( \frac{4}{10} \).
- This fraction can also be simplified. The GCD of 4 and 10 is 2.
- Simplifying gives:
\[
\frac{4 \div 2}{10 \div 2} = \frac{2}{5}
\]

3. **Finding a common denominator**:
- The denominators of Lee's and Maya's fractions are 25 and 5.
- The least common multiple (LCM) of 25 and 5 is 25.

4. **Converting Maya's fraction to have the same denominator**:
- Convert \( \frac{2}{5} \) to a fraction with a denominator of 25:
\[
\frac{2}{5} = \frac{2 \times 5}{5 \times 5} = \frac{10}{25}
\]

5. **Adding the fractions**:
- Now we can add Lee's and Maya's collections:
\[
\frac{6}{25} + \frac{10}{25} = \frac{6 + 10}{25} = \frac{16}{25}
\]

Thus, together, Lee and Maya collected \( \frac{16}{25} \) of the total number of leaves needed.