Questions: Evaluate. 1/3 * 7/8 - 1/4 Write your answer in simplest form.

Solution Steps

To solve the given expression, we need to perform the following steps:

1. Multiply the two fractions \(\frac{1}{3}\) and \(\frac{7}{8}\).
2. Subtract the fraction \(\frac{1}{4}\) from the result obtained in step 1.
3. Simplify the resulting fraction to its simplest form.

We start by multiplying the fractions \(\frac{1}{3}\) and \(\frac{7}{8}\): \[ \frac{1}{3} \cdot \frac{7}{8} = \frac{1 \cdot 7}{3 \cdot 8} = \frac{7}{24} \]

Next, we subtract \(\frac{1}{4}\) from the result obtained in Step 1: \[ \frac{7}{24} - \frac{1}{4} \] To perform this subtraction, we need a common denominator. The least common multiple of 24 and 4 is 24. We convert \(\frac{1}{4}\) to have a denominator of 24: \[ \frac{1}{4} = \frac{1 \cdot 6}{4 \cdot 6} = \frac{6}{24} \] Now we can subtract: \[ \frac{7}{24} - \frac{6}{24} = \frac{7 - 6}{24} = \frac{1}{24} \]

The result \(\frac{1}{24}\) is already in its simplest form.

Final Answer