College

Calculate the following expression:

[tex]\[ \frac{12}{25} \times \frac{10}{6} \times \frac{5}{4} = \][/tex]

Answer :

We want to evaluate

[tex]$$
\frac{12}{25} \times \frac{10}{6} \times \frac{5}{4}.
$$[/tex]

Step 1: Multiply the numerators.

Multiply all the numerators together:

[tex]$$
12 \times 10 \times 5 = 600.
$$[/tex]

Step 2: Multiply the denominators.

Multiply all the denominators together:

[tex]$$
25 \times 6 \times 4 = 600.
$$[/tex]

Step 3: Write the product of the fractions.

Now, the product is

[tex]$$
\frac{600}{600}.
$$[/tex]

Step 4: Simplify the fraction.

Since the numerator and the denominator are equal,

[tex]$$
\frac{600}{600} = 1.
$$[/tex]

Thus, the final result is [tex]$1$[/tex].