Question

1)4.5/18-7/10 2)6.1/3+2.1/15-4.7/9​

Answer 1

Ответ:

Пошаговое объяснение:

4 5/18 - 7/10 = 4 25/90 - 63/90 = 3 115/90 - 63/90 = 3 52/90 = 3 26/45

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6 1/3 + 2 1/15 - 4 7/9 = 6 15/45 + 2 3/45 - 4 35/45 =  285/45 + 93/45 - 215/45 = 163/45 = 3 28/45

Answer 2

Let's solve the given expressions step by step:

1. $\frac{4.5}{18} - \frac{7}{10}$

To subtract fractions, we need to have a common denominator. In this case, the common denominator is 18.

Rewrite the fractions with the common denominator: $\frac{4.5}{18} - \frac{7 \times 1.8}{10 \times 1.8} = \frac{4.5}{18} - \frac{12.6}{18}$

Now, both fractions have the same denominator, so we can subtract them directly: $\frac{4.5 - 12.6}{18} = \frac{-8.1}{18}$

The fraction $\frac{-8.1}{18}$ can be simplified by dividing the numerator and denominator by their greatest common divisor (GCD), which is 0.9: $\frac{-8.1}{18} = \frac{-9 \times 0.9}{18 \times 0.9} = \frac{-9}{20}$

Therefore, the result of the expression is $\frac{-9}{20}$.

2. $\frac{6.1}{3} + \frac{2.1}{15} - \frac{4.7}{9}$

To add and subtract fractions, we need to have a common denominator. In this case, the common denominator is 45 (the least common multiple of 3, 15, and 9).

Rewrite the fractions with the common denominator: $\frac{6.1 \times 15}{3 \times 15} + \frac{2.1 \times 3}{15 \times 3} - \frac{4.7 \times 5}{9 \times 5}$

Now, all fractions have the same denominator, so we can add and subtract them directly: $\frac{91.5}{45} + \frac{6.3}{45} - \frac{23.5}{45}$

Combine the fractions: $\frac{91.5 + 6.3 - 23.5}{45}$

Calculate the numerator: $91.5 + 6.3 - 23.5 = 74.3$

The final result is: $\frac{74.3}{45}$

This fraction cannot be further simplified, so the result of the expression is approximately $1.6511$.