Question

3 1/8-2 2/3+1/6 решите дроби

Answer 1

Ответ:

Пошаговое объяснение:

1)$3\frac{1}{8} -2\frac{2}{3} =\frac{25}{8}-\frac{8}{3} =\frac{75}{24} -\frac{64}{24}= \frac{11}{24}$

2)$\frac{11}{24} +\frac{1}{6} =\frac{11}{24} +\frac{4}{24} =\frac{15}{24} =\frac{5}{8}$

Answer 2

To solve the expression 3 1/8 - 2 2/3 + 1/6, we need to convert all the mixed numbers into improper fractions and then perform the arithmetic operations.

First, let's convert the mixed numbers into improper fractions: 3 1/8 = (3 * 8 + 1) / 8 = 25/8 2 2/3 = (2 * 3 + 2) / 3 = 8/3

Now, the expression becomes: 25/8 - 8/3 + 1/6

To add or subtract fractions, we need a common denominator. In this case, the common denominator is 24 (8 * 3). We will convert all the fractions to have a denominator of 24:

25/8 = (25/8) * (3/3) = 75/24 8/3 = (8/3) * (8/8) = 64/24 1/6 = (1/6) * (4/4) = 4/24

Now, the expression becomes: 75/24 - 64/24 + 4/24

We can combine the numerators and keep the denominator the same: (75 - 64 + 4)/24 = 15/24

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 3: (15/3)/(24/3) = 5/8

Therefore, the solution to the expression 3 1/8 - 2 2/3 + 1/6 is 5/8.