How can the fraction 154/4 be expressed as a mixed number in simplest form?

• A. 38 1/4
• B. 38 1/2
• C. 39
• D. 37 3/4

Answer: (B)

To express the fraction 154/4 as a mixed number, you start by dividing the numerator (154) by the denominator (4). When you perform the division, you find that 154 divided by 4 equals 38 with a remainder of 2.

This tells us that 154 can be broken down into 38 whole parts. The remainder of 2 over the original denominator of 4 can be written as a fraction, which is 2/4. This fraction can then be simplified to 1/2 since both the numerator and denominator can be divided by 2.

Combining the whole number and the simplified fraction, we get 38 1/2 as the mixed number representation of 154/4. This is the most accurate way to express the fraction in its simplest mixed form. Thus, the correct answer reflects both the integer part and the proper fraction in this representation.