Question

А) 1 2/5+3 7/15 б) 4 3/14-1 2/21 в) 3 5/6+2 7/15-1 29/30

Answer 1

А) 4,87
б) 2,5
в) 3,(3)

Answer 2

Alright, let's tackle these step by step.

а) $1 \frac{2}{5} + 3 \frac{7}{15}$

First, let's convert the mixed numbers to improper fractions. $1 \frac{2}{5}$ becomes $\frac{7}{5}$.

So, the expression becomes $\frac{7}{5} + \frac{22}{15}$.

To add these, find a common denominator, which is 15. Now the expression becomes $\frac{21}{15} + \frac{22}{15}$.

Add the numerators: $21 + 22 = 43$.

So, $1 \frac{2}{5} + 3 \frac{7}{15} = 4 \frac{3}{15} = 4 \frac{1}{5}$.

Next?

б) $4 \frac{3}{14} - 1 \frac{2}{21}$

Convert the mixed numbers to improper fractions: $4 \frac{3}{14} = \frac{59}{14}$ and $1 \frac{2}{21} = \frac{23}{21}$.

Now, subtract $\frac{59}{14} - \frac{23}{21}$. Find a common denominator, which is 42.

$\frac{177}{42} - \frac{46}{42}$.

Subtract the numerators: $177 - 46 = 131$.

So, $4 \frac{3}{14} - 1 \frac{2}{21} = 3 \frac{19}{42}$.

Finally?

в) $3 \frac{5}{6} + 2 \frac{7}{15} - 1 \frac{29}{30}$

Convert the mixed numbers to improper fractions: $3 \frac{5}{6} = \frac{23}{6}$, $2 \frac{7}{15} = \frac{37}{15}$, and $1 \frac{29}{30} = \frac{59}{30}$.

Now, the expression becomes $\frac{23}{6} + \frac{37}{15} - \frac{59}{30}$.

Find a common denominator, which is 30. The expression becomes $\frac{115}{30} + \frac{74}{30} - \frac{59}{30}$.

Combine the numerators: $115 + 74 - 59 = 130$.

So, $3 \frac{5}{6} + 2 \frac{7}{15} - 1 \frac{29}{30} = 4 \frac{10}{30} = 4 \frac{1}{3}$.

How'd I do?