Question

(15/14-12/25) / 23/35

Answer 1

Ответ: 1) 15/14-12/25=(15*25-12*14)/350=207/350;

2) 207/350:23/35=(207*35)/(350*23)=207/230=9/10.

Ответ: 9/10.

Объяснение:

Answer 2

To simplify the expression (15/14 - 12/25) / (23/35), you can follow these steps:

1. Find a common denominator for the fractions in the numerator (15/14 - 12/25).

The common denominator for 14 and 25 is 350, so we need to rewrite the fractions with that denominator:

(15/14) = (15 * 25/14 * 25) = 375/350 (12/25) = (12 * 14/25 * 14) = 336/350

Now, the expression becomes:

(375/350 - 336/350) / (23/35)

2. Subtract the fractions in the numerator:

(375/350 - 336/350) = (375 - 336)/350 = 39/350

Now, the expression becomes:

(39/350) / (23/35)

3. Divide the two fractions by multiplying the first fraction by the reciprocal of the second fraction:

(39/350) * (35/23) = (39 * 35) / (350 * 23) = 1365/8050

So, the simplified expression is 1365/8050. You can also reduce this fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 5:

(1365/5) / (8050/5) = 273/1610

Therefore, the simplified expression is 273/1610.