Question

(5/12+11/16):(13/12)

Answer 1

Відповідь:53/52

Покрокове пояснення:

Answer 2

Ответ: фото

Пошаговое объяснение: фото

Answer 3

To divide the expression $\left(\frac{5}{12} + \frac{11}{16}\right) \div \frac{13}{12},$ you can follow these steps:

1. First, simplify the expression within the parentheses:

   $\frac{5}{12} + \frac{11}{16}$

2. Find a common denominator for 12 and 16, which is 48. Then, convert both fractions to have a denominator of 48:

   $\frac{5}{12} \cdot \frac{4}{4} = \frac{20}{48}$ $\frac{11}{16} \cdot \frac{3}{3} = \frac{33}{48}$

3. Now, add the fractions:

   $\frac{20}{48} + \frac{33}{48} = \frac{20 + 33}{48} = \frac{53}{48}$

4. Now, you have the expression $\frac{53}{48} \div \frac{13}{12}.$

5. To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction (flip the second fraction and then multiply):

   $\frac{53}{48} \times \frac{12}{13} = \frac{53 \cdot 12}{48 \cdot 13}$

6. Simplify the result:

   $\frac{53 \cdot 12}{48 \cdot 13} = \frac{636}{624}$

7. Further simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 12:

   $\frac{636/12}{624/12} = \frac{53}{52}$

So, the final result is $\frac{53}{52}$.