Question

1) а) 5\16 · 4\25 б) 12 · 17\48 в) 15\17 · 9\5 · 17\27 2) а) 5\9 ÷ 15\27 б) 11 ÷ 13 в) 15\17 ÷ 75

Answer 1

Ответ:

1)

а)1\20 (0,05)

б)17\4 (4,25)

в)1

2)

а)1

б) -

в)1\85

Пошаговое объяснение:

Answer 2

Let's solve the given expressions:

1a) $\frac{5}{16} \cdot \frac{4}{25}$

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

$\frac{5 \cdot 4}{16 \cdot 25} = \frac{20}{400}$

Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor (which is 20), we get:

$\frac{1}{20}$

Therefore, $\frac{5}{16} \cdot \frac{4}{25} = \frac{1}{20}$

1b) $12 \cdot \frac{17}{48}$

To multiply a whole number and a fraction, multiply the whole number by the numerator of the fraction and keep the same denominator:

$12 \cdot \frac{17}{48} = \frac{12 \cdot 17}{48} = \frac{204}{48}$

Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor (which is 12), we get:

$\frac{17}{4}$

Therefore, $12 \cdot \frac{17}{48} = \frac{17}{4}$

1c) $\frac{15}{17} \cdot \frac{9}{5} \cdot \frac{17}{27}$

To multiply three fractions, multiply all the numerators together and multiply all the denominators together:

$\frac{15 \cdot 9 \cdot 17}{17 \cdot 5 \cdot 27}$

Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor (which is 3), we get:

$\frac{3 \cdot 5 \cdot 17}{5 \cdot 3 \cdot 9}$

Canceling out the common factors:

$\frac{17}{9}$

Therefore, $\frac{15}{17} \cdot \frac{9}{5} \cdot \frac{17}{27} = \frac{17}{9}$

2a) $\frac{5}{9} \div \frac{15}{27}$

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

$\frac{5}{9} \cdot \frac{27}{15}$

Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor (which is 3), we get:

$\frac{5 \cdot 9}{9 \cdot 5}$

Canceling out the common factors:

$\frac{1}{1}$

Therefore, $\frac{5}{9} \div \frac{15}{27} = 1$

2b) $11 \div 13$

This is a simple division of whole numbers:

$11 \div 13 = \frac{11}{13}$

Therefore, $11 \div 13 = \frac{11}{13}$

2c) $\frac{15}{17} \div 75$

To divide a fraction by a whole number, multiply the fraction by the reciprocal of the whole number:

$\frac{15}{17} \cdot \frac{1}{75}$

Simplifying the fraction, we get:

$\frac{15}{17 \cdot 75}$

Therefore, $\frac{15}{17} \div 75 = \frac{15}{17 \cdot 75}$

Note: The resulting fraction in this case cannot be simplified further without knowing the values of 17 and 75.