Question

19/5 + 4/3 , 24/5 -1 целая 1/5 , 10/3+ 1 целая 1/5 , 4 целых 1/4 - 5/2

Answer 1

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Answer 2

Let's solve each of these arithmetic expressions step by step:

1. $\frac{19}{5} + \frac{4}{3}$

To add these fractions, we need a common denominator, which is the least common multiple (LCM) of 5 and 3, which is 15.

$\frac{19}{5} = \frac{19 \times 3}{5 \times 3} = \frac{57}{15}$

$\frac{4}{3} = \frac{4 \times 5}{3 \times 5} = \frac{20}{15}$

Now, we can add the fractions:

$\frac{19}{5} + \frac{4}{3} = \frac{57}{15} + \frac{20}{15} = \frac{77}{15}$

So, $\frac{19}{5} + \frac{4}{3} = \frac{77}{15}$ or in mixed number form, $\frac{5}{15}$ with a remainder of $\frac{2}{15}$.

2. $\frac{24}{5} - 1 \frac{1}{5}$

To subtract mixed numbers, we need to convert the mixed number to an improper fraction.

$1 \frac{1}{5} = \frac{6}{5}$

Now, we have:

$\frac{24}{5} - \frac{6}{5} = \frac{24 - 6}{5} = \frac{18}{5}$

So, $\frac{24}{5} - 1 \frac{1}{5} = \frac{18}{5}$ or in mixed number form, $3 \frac{3}{5}$.

3. $\frac{10}{3} + 1 \frac{1}{5}$

First, convert the mixed number to an improper fraction:

$1 \frac{1}{5} = \frac{6}{5}$

Now, we have:

$\frac{10}{3} + \frac{6}{5}$

To add these fractions, we need a common denominator, which is the least common multiple (LCM) of 3 and 5, which is 15.

$\frac{10}{3} = \frac{10 \times 5}{3 \times 5} = \frac{50}{15}$

$\frac{6}{5} = \frac{6 \times 3}{5 \times 3} = \frac{18}{15}$

Now, we can add the fractions:

$\frac{10}{3} + \frac{6}{5} = \frac{50}{15} + \frac{18}{15} = \frac{68}{15}$

So, $\frac{10}{3} + 1 \frac{1}{5} = \frac{68}{15}$