Question

(2/15+17/12)*30/103-2:2 1/4*9/32+2 1/3=

Answer 1

Ответ:

2/15+1 7/12)*30/103-2:2 1/4*9/32+2 1/3=

по действиям

2/15+1 7/12=8/60+1 35/60=1 43/60

1 43/60*30/103=103/60*30/103=1/60*30/1=3/6=1/2

2:2 1/4=2:9/4=2*4/9=8/9

8/9*9/32=8/1*1/32=1/4

1/2-1/4+2 1/3=6/12-3/12+2 4/12=2 7/12

Пошаговое объяснение:

Answer 2

Let's break down the expression step by step:

1. Calculate inside parentheses: $(2/15 + 17/12) * 30/103 - 2:2 \frac{1}{4} * \frac{9}{32} + 2 \frac{1}{3}$

   Step 1: Calculate $2/15 + 17/12$: To add these fractions, you need a common denominator, which is 60. So, $2/15 = 8/60$ and $17/12 = 85/60$. Adding them gives $93/60$.

   Step 2: Multiply by $30/103$: $\frac{93}{60} * \frac{30}{103} = \frac{2790}{6180} = \frac{465}{1030}$

   Step 3: Perform division $2:2$: $2/2 = 1$

   Step 4: Multiply $1/4 * 9/32$: $\frac{1}{4} * \frac{9}{32} = \frac{9}{128}$

   Step 5: Add all results together: $\frac{465}{1030} - 1 + \frac{9}{128} + 2 \frac{1}{3}$

2. Convert the mixed number $2 \frac{1}{3}$ to an improper fraction: $2 \frac{1}{3} = \frac{7}{3}$

3. Add all fractions and numbers: $\frac{465}{1030} - 1 + \frac{9}{128} + \frac{7}{3}$

   To add fractions, you need a common denominator. The least common multiple of 1030, 128, and 3 is 39360.

   $\frac{465 \times 384}{1030 \times 384} - \frac{1 \times 39360}{1 \times 39360} + \frac{9 \times 307}{128 \times 307} + \frac{7 \times 13120}{3 \times 13120}$

   $= \frac{178560}{393600} - \frac{39360}{39360} + \frac{2763}{39360} + \frac{91744}{39360}$

   Step 6: Combine the fractions: $= \frac{178560 - 39360 + 2763 + 91744}{39360}$

   $= \frac{218707}{39360}$

So, the simplified value of the given expression is $\frac{218707}{39360}$.