Solve: Multiplying 7 × 6/8 - Step-by-Step Solution

To solve the multiplication of an integer with a fraction, we need to follow these steps:

• Step 1: Multiply the integer 7 by the numerator of the fraction, which is 6.
• Step 2: Keep 8 as the denominator.
• Step 3: Simplify the resulting fraction.
• Step 4: Convert to a mixed number if needed.

Now, let's work through each step:

Step 1: Multiply 7 by 6, which gives us $42$ as the numerator.

Step 2: The denominator remains 8, so we have the fraction $\frac{42}{8}$.

Step 3: Simplify $\frac{42}{8}$ by finding the greatest common divisor (GCD) of 42 and 8. The GCD is 2.

We divide the numerator and the denominator by 2: $\frac{42 \div 2}{8 \div 2} = \frac{21}{4}$.

Step 4: Convert $\frac{21}{4}$ into a mixed number:

Divide 21 by 4, which equals 5 with a remainder of 1. Thus, $\frac{21}{4}$ is equivalent to the mixed number $5\frac{1}{4}$.

Therefore, the solution to the problem is $5\frac{1}{4}$.