23/50 of 50 2/3 show steps please

23/50 * 50 2/3

23/50 * (150+2)/50

23/50 * 152/50

23/50 * 76/25 = (23*76)/(1250)

I guess it will reduce some.

thank you

To solve the fraction expression 23/50 of 50 2/3, we need to perform the following steps:

Step 1: Convert 50 2/3 into an improper fraction.
To convert the mixed number into an improper fraction, we multiply the whole number (50) by the denominator of the fraction (3) and then add the numerator (2). In this case, we have (50 * 3) + 2 = 152.
So, 50 2/3 can be expressed as the improper fraction 152/3.

Step 2: Multiply the fraction 23/50 by the improper fraction 152/3.
To multiply fractions, we simply multiply the numerators together to get the new numerator and the denominators together to get the new denominator. As a result, we have (23 * 152) / (50 * 3).

Step 3: Simplify the resulting fraction, if possible.
To simplify the resulting fraction, we need to determine if the numerator and the denominator share a common factor that can be divided out. In this case, the numerator (23 * 152 = 3496) and the denominator (50 * 3 = 150) do not share any common factors that can be divided out.

So the final answer is: 3496/150

Alternatively, you can use a calculator to perform the multiplication and simplify the resulting fraction. In this case, you can directly input the expression "23/50 * (50 + 2/3)" into a calculator that supports fraction operations. The calculator will simplify the expression and give you the result.