The problem asks us to simplify the given expressions. We need to evaluate each fraction by performing the multiplication in the numerator and then dividing by the denominator. The fractions are: $\frac{6 \times 9}{3}$, $\frac{9 \times 7}{8}$, $\frac{12 \times 5}{13}$, $\frac{15 \times 3}{18}$

ArithmeticFractionsOrder of OperationsMultiplicationDivisionSimplification
2025/6/17

1. Problem Description

The problem asks us to simplify the given expressions. We need to evaluate each fraction by performing the multiplication in the numerator and then dividing by the denominator. The fractions are:
6×93\frac{6 \times 9}{3}, 9×78\frac{9 \times 7}{8}, 12×513\frac{12 \times 5}{13}, 15×318\frac{15 \times 3}{18}

2. Solution Steps

First fraction: 6×93\frac{6 \times 9}{3}
Multiply the numerator: 6×9=546 \times 9 = 54
Divide by the denominator: 543=18\frac{54}{3} = 18
Second fraction: 9×78\frac{9 \times 7}{8}
Multiply the numerator: 9×7=639 \times 7 = 63
Divide by the denominator: 638=7.875\frac{63}{8} = 7.875
Third fraction: 12×513\frac{12 \times 5}{13}
Multiply the numerator: 12×5=6012 \times 5 = 60
Divide by the denominator: 60134.615\frac{60}{13} \approx 4.615
Fourth fraction: 15×318\frac{15 \times 3}{18}
Multiply the numerator: 15×3=4515 \times 3 = 45
Divide by the denominator: 4518=52=2.5\frac{45}{18} = \frac{5}{2} = 2.5

3. Final Answer

The simplified expressions are: 1818, 7.8757.875, approximately 4.6154.615, and 2.52.5.