Subjects arithmetic

Fraction Multiplication Addition B5Cd36

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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! 🎉