Solve: (3/4 × 3/4) - 1/4 Fraction Operation Problem

Question

34×3414= \frac{3}{4}\times\frac{3}{4}-\frac{1}{4}=

Video Solution

Step-by-Step Solution

To solve this mathematical problem, follow these steps:

  • Step 1: Multiply the fractions 34\frac{3}{4} and 34\frac{3}{4}.
  • Step 2: Subtract 14\frac{1}{4} from the product obtained in Step 1.

Let's execute each step in detail:

Step 1: Calculate the product of 34\frac{3}{4} and 34\frac{3}{4}.

To multiply two fractions, multiply their numerators and their denominators separately:

34×34=3×34×4=916 \frac{3}{4} \times \frac{3}{4} = \frac{3 \times 3}{4 \times 4} = \frac{9}{16}

Step 2: Subtract 14\frac{1}{4} from 916\frac{9}{16}.

Before we subtract 14\frac{1}{4} from 916\frac{9}{16}, we need a common denominator. The common denominator for these fractions is 16:

14=1×44×4=416 \frac{1}{4} = \frac{1 \times 4}{4 \times 4} = \frac{4}{16}

Now subtract 416\frac{4}{16} from 916\frac{9}{16}:

916416=9416=516 \frac{9}{16} - \frac{4}{16} = \frac{9 - 4}{16} = \frac{5}{16}

Therefore, the solution to the given problem is 516 \frac{5}{16} .

Answer

516 \frac{5}{16}