Question

3 1/6 +2 2/5 + 1 2/3 - 2 4/15​

Answer 1

Пошаговое объяснение:

3 1/6+2 2/5+1 2/3-2 4/15=

3+1/6+2+2/5+1+2/3-(2+4/15)=

3+1/6+2+2/5+1+2/3-2-4/15=

(3+2+1-2)(1/6+2/5+2/3-4/15)=

4+29/30=4 29/30=149/30=4,96

Answer 2

To add and subtract mixed numbers, you need to add or subtract the whole numbers separately and then add or subtract the fractions separately. Let's break down the given expression step by step:

$3 \frac{1}{6} + 2 \frac{2}{5} + 1 \frac{2}{3} - 2 \frac{4}{15}$

Step 1: Add the whole numbers: $3 + 2 + 1 - 2 = 4$

Step 2: Add the fractions separately. To add fractions with different denominators, you need to find a common denominator. The least common multiple of 6, 5, 3, and 15 is 30.

$\frac{1}{6}$ can be written as $\frac{5}{30}$ because $\frac{5}{30} = \frac{1}{6}$ when multiplied by $\frac{5}{5}$. $\frac{2}{5}$ can be written as $\frac{12}{30}$ because $\frac{12}{30} = \frac{2}{5}$ when multiplied by $\frac{6}{6}$. $\frac{2}{3}$ can be written as $\frac{20}{30}$ because $\frac{20}{30} = \frac{2}{3}$ when multiplied by $\frac{10}{10}$. $\frac{4}{15}$ is already in terms of 30 because $15 \times 2 = 30$.

Now, add the fractions:

$\frac{5}{30} + \frac{12}{30} + \frac{20}{30} - \frac{4}{30} = \frac{33}{30}$

Step 3: Simplify the fraction $\frac{33}{30}$:

$\frac{33}{30} = \frac{11}{10}$

Finally, combine the whole number from step 1 with the simplified fraction from step 3:

$4 \frac{11}{10}$