215/100•78/23

To simplify the expression \( \frac{215}{100} \cdot \frac{78}{23} \), you can perform the multiplication directly:

1. Multiply the numerators: \( 215 \cdot 78 \)

2. Multiply the denominators: \( 100 \cdot 23 \)

Now, let's calculate each part:

1. \( 215 \cdot 78 = 16770 \)
2. \( 100 \cdot 23 = 2300 \)

So the expression becomes:

\[ \frac{16770}{2300} \]

Next, we can simplify this fraction. Both the numerator and the denominator can be divided by 10:

\[ \frac{1677}{230} \]

Now, we can check if 1677 and 230 have common factors. The greatest common divisor (GCD) of the two is 1, which means the fraction is already in its simplest form:

Thus, the final answer is:

\[ \frac{1677}{230} \]

You can also get a decimal value by performing the division:

\[ \frac{1677}{230} \approx 7.29 \]

So,

\(\frac{215}{100} \cdot \frac{78}{23} \approx 7.29\) when expressed as a decimal.