Question

blood contains three types of cells, red blood cells, white blood cells, and platelets. for approximately every 696 red blood cells in a healthy human, there are 78 platelets, and 14 white blood cells. write the ratio of red blood cells to platelets as a fraction in simplest form.

the ratio of red blood cells to platelets is □ (type the ratio as a simplified fraction)

Explanation:

Step1: Write the ratio as a fraction

The ratio of red blood cells to platelets is \(\frac{696}{75}\).

Step2: Simplify the fraction

Find the greatest common divisor (GCD) of 696 and 75.
Prime - factorize 696: \(696 = 2\times2\times2\times3\times29\)
Prime - factorize 75: \(75=3\times5\times5\)
The GCD of 696 and 75 is 3.
Divide both the numerator and the denominator by 3: \(\frac{696\div3}{75\div3}=\frac{232}{25}\)

Answer:

\(\frac{232}{25}\)