Question

4 2/3*9/14 б) 2 1/3*1/14

Answer 1

Объяснение:

$\[\begin{gathered}4\frac{2}{3}*\frac{9}{{14}}=\frac{{14}}{3}*\frac{9}{{14}}=\frac{9}{3}=3\hfill \\\\2\frac{1}{3}*\frac{1}{{14}}=\frac{7}{3}*\frac{1}{{14}}=\frac{1}{6}\hfill \\ \end{gathered} \]$

Answer 2

To simplify the given expressions, let's perform the calculations:

a) 4 2/3 * 9/14:

To multiply mixed numbers, you first convert them to improper fractions and then multiply the fractions.

4 2/3 can be converted to an improper fraction as follows: 4 * 3 + 2 = 14 14/3

Now we can multiply the fractions: (14/3) * (9/14) = (14 * 9) / (3 * 14) = 126/42

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 6: (126/6) / (42/6) = 21/7 = 3

Therefore, 4 2/3 * 9/14 equals 3.

b) 2 1/3 * 1/14:

Similarly, let's convert the mixed number to an improper fraction: 2 1/3 can be written as: 2 * 3 + 1 = 7 7/3

Now we can multiply the fractions: (7/3) * (1/14) = 7/42

The fraction is already in its simplest form, so the result is 7/42.

Therefore, 2 1/3 * 1/14 equals 7/42.