Question

Найдите значение выражения 8,4 : 2 1/3

Answer 1

8,4 : 2 ( 1/3 ) = ( 42/5 ) : ( 7/3 ) = 126/35 = 3,6

Answer 2

Certainly! To find the value of the expression \( \frac{8.4}{2\frac{1}{3}} \), we can first convert the mixed number \( 2\frac{1}{3} \) into an improper fraction.

To convert \( 2\frac{1}{3} \) to an improper fraction, we multiply the whole number (2) by the denominator (3) and add the numerator (1). This gives us:

\[ 2\frac{1}{3} = \frac{(2 \times 3) + 1}{3} = \frac{6 + 1}{3} = \frac{7}{3} \]

Now, we can substitute this into the original expression:

\[ \frac{8.4}{2\frac{1}{3}} = \frac{8.4}{\frac{7}{3}} \]

To divide by a fraction, we can multiply by its reciprocal. The reciprocal of \( \frac{7}{3} \) is \( \frac{3}{7} \), so:

\[ \frac{8.4}{\frac{7}{3}} = 8.4 \times \frac{3}{7} \]

Now, multiply the numerators (8.4 and 3) and the denominators (1 and 7):

\[ 8.4 \times \frac{3}{7} = \frac{25.2}{7} \]

So, the value of the expression \( \frac{8.4}{2\frac{1}{3}} \) is \( \frac{25.2}{7} \).