Question

(2/15+7/12)*30/48- 2: 2 1/2*5/32

Answer 1

Ответ:

31/96

Пошаговое объяснение:

Смотри решение на фото

Answer 2

Ответ:

Пошаговое объяснение:

Answer 3

Let's break down the expression step by step:

1. (2/15 + 7/12) * 30/48: First, find a common denominator for the fractions within the parentheses, which is 60. Then, convert the fractions:

   • $\frac{2}{15} = \frac{8}{60}$
   • $\frac{7}{12} = \frac{35}{60}$

   Now add these fractions: $\frac{8}{60} + \frac{35}{60} = \frac{43}{60}$

   Finally, multiply by $\frac{30}{48} = \frac{15}{24} = \frac{5}{8}$: $\frac{43}{60} \times \frac{5}{8} = \frac{215}{480}$, which can be simplified to $\frac{43}{96}$.

2. 2 1/2 * 5/32: First, convert the mixed number to an improper fraction: $2 \frac{1}{2} = \frac{5}{2}$

   Now multiply $\frac{5}{2}$ by $\frac{5}{32}$: $\frac{5}{2} \times \frac{5}{32} = \frac{25}{64}$

3. Subtract $\frac{25}{64}$ from $\frac{43}{96}$: To subtract fractions, you need a common denominator. In this case, the least common multiple of 64 and 96 is 192. Convert the fractions to have this common denominator:

   • $\frac{25}{64}$ is already in terms of 64, so it remains the same.
   • $\frac{43}{96} = \frac{86}{192}$

   Subtract $\frac{25}{64}$ from $\frac{86}{192}$: $\frac{86}{192} - \frac{25}{64} = \frac{86}{192} - \frac{75}{192} = \frac{11}{192}$

So, the final result of the expression is $\frac{11}{192}$.