Let's solve this step by step! 🎉
**Step 1: Multiply the fractions**
Imagine you have 2/5 of a pizza and then multiply it by 3/4 of another pizza slice.
$$\frac{2}{5} \times \frac{3}{4} = \frac{2 \times 3}{5 \times 4} = \frac{6}{20}$$
**Step 2: Simplify the fraction**
6/20 can be made smaller by dividing top and bottom by 2.
$$\frac{6}{20} = \frac{3}{10}$$
**Step 3: Add the fractions**
Now add $\frac{3}{10}$ and $\frac{6}{7}$.
**Step 4: Find a common bottom number**
The bottom numbers are 10 and 7. The smallest number they both fit into is 70.
**Step 5: Change fractions to have bottom 70**
$$\frac{3}{10} = \frac{3 \times 7}{10 \times 7} = \frac{21}{70}$$
$$\frac{6}{7} = \frac{6 \times 10}{7 \times 10} = \frac{60}{70}$$
**Step 6: Add the top numbers**
$$\frac{21}{70} + \frac{60}{70} = \frac{21 + 60}{70} = \frac{81}{70}$$
**Final answer:**
$$\frac{81}{70}$$ which is more than 1, or you can write as $1 \frac{11}{70}$.
Great job! 🎯 You did it! 🎉
Fraction Multiplication Addition B5Cd36
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.