Question

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

Answer 1

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

1) 2/15 + 1 7/12 = 8/60 + 1 35/60 = 1 43/60 = 103/60
2) 103/60 * 30/103 = 30/60 = 1/2
3) 2 : 2 1/4 = 2 : 9/4 = 2 * 4/9 = 8/9
4) 8/9 * 9/32 = 8/32 = 1/4
5) 1/2 - 1/4 = 2/4 - 1/4 = 1/4
6) 1/4 + 2 1/3 = 3/12 + 2 4/12 = 2 7/12

Answer 2

Let's break down the given expression step by step:

Step 1: Simplify the fractions.

• 2/15 + 17/12

First, we need to find a common denominator, which is 60 (the least common multiple of 15 and 12). Then we convert each fraction to have a denominator of 60.

2/15 = (2/15) * (4/4) = 8/60 17/12 = (17/12) * (5/5) = 85/60

Now, we can add the fractions:

8/60 + 85/60 = 93/60

Step 2: Convert the mixed numbers to improper fractions.

• 2 1/4 = 2 + 1/4 = 9/4
• 2 1/3 = 2 + 1/3 = 7/3

Step 3: Perform the operations in the parentheses.

• (93/60) * (30/103) - (2:2) * (9/32) + (7/3)

Step 4: Continue simplifying the expression.

(93/60) * (30/103) - (1) * (9/32) + (7/3)

Step 5: Convert the improper fraction to a mixed number.

• (93/60) = 1 33/60 = 1 11/20

Step 6: Perform the remaining operations.

(1 11/20) * (30/103) - (9/32) + (7/3)

Step 7: Multiply fractions.

(71/60) - (9/32) + (7/3)

Step 8: Find a common denominator.

The common denominator for 60, 32, and 3 is 960.

Step 9: Convert all fractions to have a denominator of 960.

(71/60) * (16/16) = 1136/960 (9/32) * (30/30) = 270/960 (7/3) * (320/320) = 2240/960

Step 10: Perform the final operation.

(1136/960) - (270/960) + (2240/960)

Step 11: Combine the fractions.

(1136 - 270 + 2240)/960

Step 12: Perform the arithmetic.

(3106)/960

Step 13: Simplify the fraction, if possible.

(3106 ÷ 2) / (960 ÷ 2) = 1553/480

So, the final result of the expression is 1553/480 or approximately 3.236.