Question

Выполнить действия, применив правила сложения и вычитание дробей с разными знаменателями 11/20 + 7/15.

Answer 1

11/20+7/15=61/60=одна целая одна шестидесятая.

Answer 2

Adding and Subtracting Fractions with Different Denominators

To add or subtract fractions with different denominators, you need to find a common denominator. Here's how you can do it for the given fractions:

1. Find the Least Common Denominator (LCD): - The least common multiple of 20 and 15 is 60. Therefore, the LCD for 20 and 15 is 60.

2. Convert the Fractions: - For \( \frac{11}{20} \), to convert the denominator to 60, multiply both the numerator and denominator by 3: \( \frac{11 \times 3}{20 \times 3} = \frac{33}{60} \). - For \( \frac{7}{15} \), to convert the denominator to 60, multiply both the numerator and denominator by 4: \( \frac{7 \times 4}{15 \times 4} = \frac{28}{60} \).

3. Perform the Operation: - Now that the fractions have the same denominator, you can add or subtract the numerators: - \( \frac{33}{60} - \frac{28}{60} = \frac{33 - 28}{60} = \frac{5}{60} \).

Therefore, the result of \( \frac{11}{20} - \frac{7}{15} \) is \( \frac{5}{60} \).

This process ensures that the fractions can be added or subtracted accurately.