
1 3/32×(-1 19/45)+1 17/63×3 9/25


Ответы на вопрос

Ответ:
15977-4yii= 44=456
Пошаговое объяснение:
надеюсь помог



To calculate the expression:
1 3/32 × (-1 19/45) + 1 17/63 × 3 9/25
We can start by converting the mixed numbers into improper fractions, perform the multiplications, and then add the results. Here's how you can do it step by step:
Step 1: Convert mixed numbers to improper fractions: 1 3/32 = (32 * 1 + 3)/32 = 35/32 -1 19/45 = (45 * -1 + 19)/45 = -26/45 1 17/63 = (63 * 1 + 17)/63 = 80/63 3 9/25 = (25 * 3 + 9)/25 = 84/25
Step 2: Perform the multiplications: (35/32) × (-26/45) = (35 × -26) / (32 × 45) = -910/1440 (80/63) × (84/25) = (80 × 84) / (63 × 25) = 6720/1575
Step 3: Simplify the fractions: -910/1440 can be simplified by dividing both the numerator and denominator by their greatest common divisor (gcd), which is 10: -910/1440 = (-91/144) ÷ 10 = -91/1440
6720/1575 can also be simplified by dividing both the numerator and denominator by their gcd, which is 105: 6720/1575 = (64/15) ÷ 105 = 64/1575
Step 4: Add the simplified fractions: -91/1440 + 64/1575
To add these fractions, we need a common denominator, which is the least common multiple of 1440 and 1575. The least common multiple of 1440 and 1575 is 2520.
Now, let's rewrite the fractions with the common denominator:
-91/1440 = (-91/1440) × (1575/1575) = (-91 × 1575) / (1440 × 1575) = -142875/2268000 64/1575 = (64/1575) × (1440/1440) = (64 × 1440) / (1575 × 1440) = 92160/2268000
Now, we can add the fractions: (-142875/2268000) + (92160/2268000) = (-142875 + 92160) / 2268000 = -50715/2268000
Now, the expression is simplified to -50715/2268000. This fraction can also be further reduced if needed.


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