Question

3 1/5+2 1/3,4 1/7-1 2/14,5 4/5×15/58,1 2/5÷14/25

Answer 1

Пошаговое объяснение:

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Answer 2

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

1. $3 \frac{1}{5} + 2 \frac{1}{3}$

To add these mixed numbers, you first add the whole numbers and then the fractions separately:

$3 + 2 = 5$

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

To add these fractions, you need to find a common denominator, which is 15 in this case:

$\frac{3}{15} + \frac{5}{15} = \frac{3 + 5}{15} = \frac{8}{15}$

So, $3 \frac{1}{5} + 2 \frac{1}{3} = 5 \frac{8}{15}$

2. $4 \frac{1}{7} - 1 \frac{2}{14}$

Again, subtract the whole numbers and fractions separately:

$4 - 1 = 3$

$\frac{1}{7} - \frac{2}{14}$

To subtract these fractions, you need to find a common denominator, which is 14 in this case:

$\frac{2}{14} - \frac{1}{7} = \frac{2 - 2}{14} = \frac{0}{14} = 0$

So, $4 \frac{1}{7} - 1 \frac{2}{14} = 3 - 0 = 3$

3. $5 \frac{4}{5} \times \frac{15}{58}$

Multiply the whole number and the fraction separately, and then simplify the fraction:

$5 \frac{4}{5} = 5 + \frac{4}{5} = \frac{5 \cdot 5 + 4}{5} = \frac{29}{5}$

Now, multiply this fraction by $\frac{15}{58}$:

$\frac{29}{5} \times \frac{15}{58} = \frac{29 \cdot 15}{5 \cdot 58} = \frac{435}{290} = \frac{87}{58}$

So, $5 \frac{4}{5} \times \frac{15}{58} = \frac{87}{58}$

4. $1 \frac{2}{5} \div \frac{14}{25}$

To divide by a fraction, you can multiply by its reciprocal. So, the expression becomes:

$1 \frac{2}{5} \times \frac{25}{14}$

Multiply the whole number and the fraction separately, and then simplify the fraction:

$1 \frac{2}{5} = 1 + \frac{2}{5} = \frac{5}{5} + \frac{2}{5} = \frac{7}{5}$

Now, multiply this fraction by $\frac{25}{14}$