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e) \( \frac{1}{2} \cdot \frac{1}{3} \cdot \frac{1}{5}= \) ?

Ask by Gray O'Quinn. in Brazil
Mar 09,2025

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Answer

A multiplicação das frações \( \frac{1}{2} \cdot \frac{1}{3} \cdot \frac{1}{5} \) resulta em \( \frac{1}{30} \).

Solution

1. Escrevamos a multiplicação das frações: \[ \frac{1}{2} \cdot \frac{1}{3} \cdot \frac{1}{5} \] 2. Multiplicamos os numeradores e os denominadores separadamente: \[ \text{Numerador: } 1 \cdot 1 \cdot 1 = 1 \] \[ \text{Denominador: } 2 \cdot 3 \cdot 5 = 30 \] 3. Portanto, o resultado é: \[ \frac{1}{30} \]

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To solve \( \frac{1}{2} \cdot \frac{1}{3} \cdot \frac{1}{5} \), you simply multiply the numerators together and the denominators together. So, the product of the numerators is \( 1 \times 1 \times 1 = 1 \) and the product of the denominators is \( 2 \times 3 \times 5 = 30 \). This gives you \( \frac{1}{30} \). Now, let's not stop at just this calculation! Consider that multiplying fractions is like slicing a delicious cake into smaller and smaller pieces. Each fraction represents a part of the whole cake, and when you multiply them, you're determining how tiny the slices become. With each multiplication, the cake gets divided, resulting in more delicate pieces to enjoy! When dealing with fractions, a common mistake is forgetting to multiply the denominators correctly. Always remember: it’s easy to focus on the numerators while neglecting the denominators. A good tip is to double-check your multiplication by using a calculator or even drawing a visual fraction representation to keep track of how much you're actually working with!

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