Question

7 3/16 - 3 7/20 + 1,6допоможіть будь ласка ​

Answer 1

7 3/16 - 3 7/20 + 1,6 =

(7,4375 - 3,85) + 1,6 =

3,5875 + 1,6 =

5,4375

Answer 2

To solve the expression 7 3/16 - 3 7/20 + 1.6, we can follow these steps:

1. Convert the mixed numbers to improper fractions: - 7 3/16 = (7 * 16 + 3) / 16 = 115 / 16 - 3 7/20 = (3 * 20 + 7) / 20 = 67 / 20

2. Perform the subtraction: - (115 / 16) - (67 / 20)

To subtract fractions, we need to find a common denominator. In this case, the common denominator is 16 * 20 = 320.

3. Rewrite the fractions with the common denominator: - (115 / 16) * (20 / 20) - (67 / 20) * (16 / 16) - (2300 / 320) - (1072 / 320)

4. Subtract the numerators: - (2300 - 1072) / 320 = 1228 / 320

5. Simplify the fraction: - Divide both the numerator and denominator by their greatest common divisor, which is 4: - (1228 / 4) / (320 / 4) = 307 / 80

6. Add the decimal number 1.6 to the fraction 307/80: - 307 / 80 + 1.6

To add a fraction and a decimal number, we need to convert the decimal number to a fraction. Since 1.6 can be written as 16/10, we have:

7. Convert the decimal number to a fraction: - 1.6 = 16/10

8. Find a common denominator for the fractions: - The common denominator is 80.

9. Rewrite the fractions with the common denominator: - (307 / 80) + (16 / 10) * (8 / 8) - (307 / 80) + (128 / 80)

10. Add the numerators: - (307 + 128) / 80 = 435 / 80

11. Simplify the fraction: - Divide both the numerator and denominator by their greatest common divisor, which is 5: - (435 / 5) / (80 / 5) = 87 / 16

Therefore, the result of the expression 7 3/16 - 3 7/20 + 1.6 is 87/16 or 87 over 16.