Question

1)2/7+3/8=??? 2)5/6-4/9=??? 3) 3(целых) 1/8 +2(целых)5/6=??? 4) 3(целых) 11/12 - 3(целых) 7/18=???

Answer 1

1)37/56

2)5(целых) 23/24

3)19/36

Answer 2

To solve these arithmetic problems, let's work through each one step by step:

1. $\frac{2}{7} + \frac{3}{8}$

To add fractions, we need a common denominator. The least common multiple (LCM) of 7 and 8 is 56.

$\frac{2}{7}$ can be converted to an equivalent fraction with a denominator of 56 by multiplying both the numerator and denominator by 8: $\frac{2 \times 8}{7 \times 8} = \frac{16}{56}$

$\frac{3}{8}$ can be converted to an equivalent fraction with a denominator of 56 by multiplying both the numerator and denominator by 7: $\frac{3 \times 7}{8 \times 7} = \frac{21}{56}$

Now, we can add the fractions:

$\frac{16}{56} + \frac{21}{56} = \frac{16 + 21}{56} = \frac{37}{56}$

So, $\frac{2}{7} + \frac{3}{8} = \frac{37}{56}$

2. $\frac{5}{6} - \frac{4}{9}$

Again, we need a common denominator. The LCM of 6 and 9 is 18.

$\frac{5}{6}$ can be converted to an equivalent fraction with a denominator of 18 by multiplying both the numerator and denominator by 3: $\frac{5 \times 3}{6 \times 3} = \frac{15}{18}$

$\frac{4}{9}$ can be converted to an equivalent fraction with a denominator of 18 by multiplying both the numerator and denominator by 2: $\frac{4 \times 2}{9 \times 2} = \frac{8}{18}$

Now, we can subtract the fractions:

$\frac{15}{18} - \frac{8}{18} = \frac{15 - 8}{18} = \frac{7}{18}$

So, $\frac{5}{6} - \frac{4}{9} = \frac{7}{18}$

3. $3\frac{1}{8} + 2\frac{5}{6}$

To add mixed numbers, first, add the whole numbers together and then add the fractions separately.

Adding the whole numbers: $3 + 2 = 5$

Adding the fractions:

For $\frac{1}{8} + \frac{5}{6}$, we need a common denominator. The LCM of 8 and 6 is 24.

$\frac{1}{8}$ can be converted to an equivalent fraction with a denominator of 24 by multiplying both the numerator and denominator by 3: $\frac{1 \times 3}{8 \times 3} = \frac{3}{24}$

$\frac{5}{6}$ can be converted to an equivalent fraction with a denominator of 24 by multiplying both the numerator and denominator by 4: $\frac{5 \times 4}{6 \times 4} = \frac{20}{24}$

Now, we can add the fractions:

$\frac{3}{24} + \frac{20}{24} = \frac{3 + 20}{24} = \frac{23}{24}$

So, $3\frac{1}{8} + 2\frac{5}{6} = 5\frac{23}{24}$