Question

1 8/15+0.25-3 1/10-1 3/4

Answer 1

Ответ:

$1 \frac{8}{15} + 0.25 - 3 \frac{1}{10} - 1 \frac{3}{4} = \frac{23}{15} + \frac{1}{4} - \frac{31}{10} - \frac{7}{4} = \frac{92 + 15 - 186 - 105}{60} = \frac{ - 184}{60} = - 3 \frac{1}{10}$

Answer 2

To solve the expression:

1 8/15 + 0.25 - 3 1/10 - 1 3/4

Let's break it down step by step:

1. 1 8/15 can be converted to an improper fraction: 1 8/15 = 15/15 + 8/15 = 23/15
2. Now, rewrite the expression with the improper fraction:

23/15 + 0.25 - 3 1/10 - 1 3/4

3. 3 1/10 can be converted to an improper fraction: 3 1/10 = 31/10
4. Similarly, 1 3/4 can be converted to an improper fraction: 1 3/4 = 7/4
5. Now, rewrite the expression with these improper fractions:

23/15 + 0.25 - 31/10 - 7/4

6. Find a common denominator for the fractions in the expression. In this case, the common denominator is 60, so we'll adjust the fractions:

(23/15) * (4/4) + (0.25) * (60/60) - (31/10) * (6/6) - (7/4) * (15/15)

7. Perform the operations:

(23 * 4) / (15 * 4) + (0.25 * 60) - (31 * 6) / (10 * 6) - (7 * 15) / (4 * 15)

(92/60) + (15) - (186/60) - (105/60)

8. Combine the fractions:

(92/60) + (15) - (186/60) - (105/60)

9. Now, add and subtract the fractions and the whole numbers:

(92/60 - 186/60) + 15 - 105/60

10. Calculate the fractions:

(92 - 186)/60 + 15 - 105/60

-94/60 + 15 - 105/60

11. Combine the fractions:

(-94 - 105)/60 + 15

-199/60 + 15

12. You can convert the mixed number back to an improper fraction:

-199/60 + 15 = (-199 + 900)/60 = 701/60

So, the final result is 701/60.