Question

13/45-12/45+21/45 109/250-(32/250+63/250)57/190-(32/190-12/190)35/67+(15/67-9/67)(42/56+8/56)-29/56203/300+(190/300-150/300)​

Answer 1

Пошаговое объяснение:

13-12+21/45=22÷45=~0,5

109/250-(32+63/250)=109-95/250=0,056

57/190-(32-12/190)=57-20/190=~0,2

35+(15-9)/67=~0,6

(42+8)-29/56=0.375

203+(190-150)/300=0,81

Answer 2

To simplify the given expression, let's perform the calculations step by step:

1. Calculate the sums and differences within each set of fractions first:

• $13/45 - 12/45 + 21/45$ simplifies to $22/45$.
• $109/250 - (32/250 + 63/250)$ simplifies to $109/250 - 95/250$ which is $14/250$ or $7/125$.
• $57/190 - (32/190 - 12/190)$ simplifies to $57/190 - 20/190$ which is $37/190$.
• $35/67 + (15/67 - 9/67)$ simplifies to $35/67 + 6/67$ which is $41/67$.
• $42/56 + 8/56$ simplifies to $50/56$ which is $25/28$.
• $203/300 + (190/300 - 150/300)$ simplifies to $203/300 + 40/300$ which is $243/300$, and this can be simplified further by dividing both the numerator and denominator by their greatest common divisor, which is 3: $81/100$.

Now, we have simplified each set of fractions:

• $22/45$
• $7/125$
• $37/190$
• $41/67$
• $25/28$
• $81/100$

2. Now, let's add these simplified fractions together:

$\frac{22}{45} + \frac{7}{125} + \frac{37}{190} + \frac{41}{67} + \frac{25}{28} + \frac{81}{100}$

To add these fractions together, we need to find a common denominator, which is the least common multiple of the denominators: 45, 125, 190, 67, 28, and 100. The least common multiple is 4200.

Now, we need to express each fraction with the common denominator:

• $\frac{22}{45} = \frac{22 \cdot 93}{45 \cdot 93} = \frac{2046}{4200}$
• $\frac{7/125} = \frac{7 \cdot 33.6}{125 \cdot 33.6} = \frac{235.2}{4200}$
• $\frac{37}{190} = \frac{37 \cdot 22.05}{190 \cdot 22.05} = \frac{814.85}{4200}$
• $\frac{41}{67} = \frac{41 \cdot 62.64}{67 \cdot 62.64} = \frac{2570.24}{4200}$
• $\frac{25}{28} = \frac{25 \cdot 150}{28 \cdot 150} = \frac{3750}{4200}$
• $\frac{81}{100} = \frac{81 \cdot 42}{100 \cdot 42} = \frac{3402}{4200}$

Now, we can add these fractions:

$\frac{2046}{4200} + \frac{235.2}{4200} + \frac{814.85}{4200} + \frac{2570.24}{4200} + \frac{3750}{4200} + \frac{3402}{4200} = \frac{11108.29}{4200}$

This fraction can be simplified further. The greatest common divisor of 11108.29 and 4200 is 4. Divide both the numerator and denominator by 4:

$\frac{11108.29}{4200} = \frac{2777.0725}{1050} = \frac{2777.0725}{1050} \times \frac{4}{4} = \frac{11108.29}{4200} = \frac{6948.18}{2625}$