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Albert1
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$\dfrac{3}{3\times 4}+\dfrac{4}{3\times 4\times 5}+\dfrac{5}{3\times 4\times 5\times 6}+\cdots+\dfrac {99}{3\times 4\times 5\times 6\times \cdots\times 99\times 100}$
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Albert said:$\dfrac{3}{3\times 4}+\dfrac{4}{3\times 4\times 5}+\dfrac{5}{3\times 4\times 5\times 6}+ \cdots +\dfrac {99}{3\times 4\times 5\times 6\times \cdots \times 99\times 100}$
The basic steps to simplify multiplication of fractions are:
1. Multiply the numerators of the fractions together.
2. Multiply the denominators of the fractions together.
3. Simplify the resulting fraction if possible by reducing the numerator and denominator to their lowest terms.
Yes, you can cancel out common factors when multiplying fractions. This is also known as reducing the fractions. Cancelling out common factors helps to simplify the resulting fraction and make the calculation easier.
If the fractions have different denominators, you need to find the lowest common denominator (LCD) by finding the lowest number that both denominators can divide into evenly. Then, convert each fraction to an equivalent fraction with the LCD as the denominator before multiplying.
Yes, it is important to simplify the resulting fraction after multiplying. Simplifying the fraction reduces it to its lowest terms and makes it easier to work with in future calculations.
Yes, you can use a calculator to simplify multiplication of fractions. Most calculators have a simplification function that can reduce fractions to their lowest terms. However, it is still important to understand the basic steps of simplifying fractions in case the calculator is not available.