(9 31/50-5 5/6•3/5):(1 9/10+1 7/10)

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вопрос

To solve this problem, we first need to convert all mixed numbers to improper fractions:

9 31/50 = 469/50
5 5/6 = 35/6
1 9/10 = 19/10
1 7/10 = 17/10

Now, we can rewrite the expression as:

(469/50 - 35/6 * 3/5) / (19/10 + 17/10)

First, simplify the multiplication inside the parentheses:

35/6 3/5 = (353)/(6*5) = 105/30 = 7/2

Now, rewrite the expression:

(469/50 - 7/2) / (19/10 + 17/10)

Now, we need to find a common denominator for the fractions in the expression:

(469/50 - 35/10) / (19/10 + 17/10)

Now, we can subtract the fractions:

(469/50 - 35/10) = (469/50 - 175/50) = 294/50 = 147/25

Now, let's add the fractions in the denominator:

(147/25) / (36/10) = (147/25) / (18/5)

To divide by a fraction, we can multiply by its reciprocal:

(147/25) (5/18) = (1475) / (25*18) = 735/450 = 49/30

Therefore, the final answer is 49/30.