Question

14/15 - 18/25 4/15 + 7/12 4/5 - 2/3 + 4/15 7/8 + 11/12 - 5/6

Answer 1

Пошаговое объяснение:

1)16/75

2)17/20

3)2/5

4)23/24

Answer 2

To perform these calculations, let's take them one at a time:

1. $\frac{14}{15} - \frac{18}{25}$:

To subtract fractions, you need a common denominator. In this case, the common denominator is 75.

$\frac{14}{15}$ becomes $\frac{14 \cdot 5}{15 \cdot 5} = \frac{70}{75}$

$\frac{18}{25}$ becomes $\frac{18 \cdot 3}{25 \cdot 3} = \frac{54}{75}$

Now, subtract the fractions:

$\frac{70}{75} - \frac{54}{75} = \frac{70 - 54}{75} = \frac{16}{75}$

2. $\frac{4}{15} + \frac{7}{12}$:

To add fractions, you also need a common denominator. In this case, the common denominator is 60.

$\frac{4}{15}$ becomes $\frac{4 \cdot 4}{15 \cdot 4} = \frac{16}{60}$

$\frac{7}{12}$ becomes $\frac{7 \cdot 5}{12 \cdot 5} = \frac{35}{60}$

Now, add the fractions:

$\frac{16}{60} + \frac{35}{60} = \frac{16 + 35}{60} = \frac{51}{60}$

You can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:

$\frac{51}{60} = \frac{51 \div 3}{60 \div 3} = \frac{17}{20}$

3. $\frac{4}{5} - \frac{2}{3} + \frac{4}{15}$:

To perform this calculation, first find a common denominator. In this case, the common denominator is 15.

$\frac{4}{5}$ becomes $\frac{4 \cdot 3}{5 \cdot 3} = \frac{12}{15}$

$\frac{2}{3}$ becomes $\frac{2 \cdot 5}{3 \cdot 5} = \frac{10}{15}$

Now, subtract the fractions and then add the result:

$\frac{12}{15} - \frac{10}{15} + \frac{4}{15} = \frac{12 - 10 + 4}{15} = \frac{6}{15}$

Simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:

$\frac{6}{15} = \frac{6 \div 3}{15 \div 3} = \frac{2}{5}$

4. $\frac{7}{8} + \frac{11}{12} - \frac{5}{6}$:

To perform this calculation, first find a common denominator. In this case, the common denominator is 24.