1964/1907:1694/3759

To solve the ratio \( \frac{1964/1907}{1694/3759} \), we can simplify it by multiplying by the reciprocal of the second fraction:

\[ \frac{1964}{1907} \div \frac{1694}{3759} = \frac{1964}{1907} \times \frac{3759}{1694} \]

Now, we can multiply the numerators and the denominators:

\[ \frac{1964 \times 3759}{1907 \times 1694} \]

Calculating each part step-by-step:

1. Calculate \( 1964 \times 3759 \).
2. Calculate \( 1907 \times 1694 \).

Now, let's compute these two products:

1. \( 1964 \times 3759 = 7386326 \)
2. \( 1907 \times 1694 = 3228288 \)

So we have:

\[ \frac{7386326}{3228288} \]

Next, we can simplify this fraction by finding the greatest common divisor (GCD) of both numbers. Upon performing the calculations, you will find that the GCD is 2.

Now we simplify:

\[ \frac{7386326 \div 2}{3228288 \div 2} = \frac{3693163}{1614144} \]

Thus:

\[ \frac{1964/1907}{1694/3759} = \frac{3693163}{1614144} \]

This cannot be simplified further. The final result is:

\[ \frac{1964/1907}{1694/3759} = \frac{3693163}{1614144} \]