Question

3/5*4/9,7/9:21/25,(3/4)²

Answer 1

Ответ:

Пошаговое объяснение:

3/5*4/9=4/15

7/9:21/25=7/9*25/21=25/27

(3/4)²=9/16

Answer 2

Ответ:
1) 3/5*4/9
3*4=12
5*9=45
Ответ: 12/45
2)7/9:21/25
При делении дробь переворачивается и умножается
7/9*25/21
7*25=175
9*21=189
Ответ: 175/189
3) (3/4)^2
Значит 3/4*3/4
3*3=9
4*4=16
Ответ: 9/16
Пошаговое объяснение:

Answer 3

Let's simplify each of these expressions step by step:

1. $\frac{3}{5} \times \frac{4}{9}$

To multiply fractions, simply multiply the numerators together and the denominators together:

$\frac{3}{5} \times \frac{4}{9} = \frac{3 \times 4}{5 \times 9} = \frac{12}{45}$

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 3:

$\frac{12}{45} = \frac{4}{15}$

So, $\frac{3}{5} \times \frac{4}{9} = \frac{4}{15}$.

2. $\frac{7}{9} : \frac{21}{25}$

To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction:

$\frac{7}{9} \div \frac{21}{25} = \frac{7}{9} \times \frac{25}{21}$

Now, multiply the numerators together and the denominators together:

$\frac{7 \times 25}{9 \times 21} = \frac{175}{189}$

This fraction can be simplified by finding the greatest common factor (GCF) of 175 and 189, which is 7:

$\frac{175}{189} = \frac{7 \times 25}{7 \times 27}$

Now, divide both the numerator and denominator by 7:

$\frac{7 \times 25}{7 \times 27} = \frac{25}{27}$

So, $\frac{7}{9} : \frac{21}{25} = \frac{25}{27}$.

3. $(3/4)^2$

To square a fraction, you simply square both the numerator and the denominator:

$(3/4)^2 = \left(\frac{3}{4}\right)^2 = \frac{3^2}{4^2} = \frac{9}{16}$

So, $(3/4)^2 = \frac{9}{16}$.

To summarize:

1. $\frac{3}{5} \times \frac{4}{9} = \frac{4}{15}$.
2. $\frac{7}{9} : \frac{21}{25} = \frac{25}{27}$.
3. $(3/4)^2 = \frac{9}{16}$.