Question

2 2/5×6 1/4-5 1/3×1 1/8

Answer 1

$2 \frac{2}{5} \times 6 \frac{1}{4} - 5 \frac{1}{3} \times 1 \frac{1}{8} = 9 \\ 1) \: 2 \frac{2}{5} \times 6 \frac{1}{4} = \frac{12 \times 25}{5 \times 4} = 3 \times 5 = 15 \\ 2) \: 5 \frac{1}{3} \times 1 \frac{1}{8} = \frac{16 \times 9}{3 \times 8} = 2 \times 3 = 6 \\ 3) \: 15 - 6 = 9$

Answer 2

To calculate the expression, you should follow the order of operations, which is typically remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division [from left to right], Addition and Subtraction [from left to right]).

Let's break down the expression step by step:

1. First, calculate the multiplications and divisions from left to right:

   2 2/5 × 6 1/4 = (12/5) × (25/4) = (12 * 25) / (5 * 4) = 300/20 = 15

   5 1/3 × 1 1/8 = (16/3) × (9/8) = (16 * 9) / (3 * 8) = 144/24 = 6

2. Now, subtract the result of the second multiplication from the result of the first multiplication:

   15 - 6 = 9

So, the result of the expression 2 2/5 × 6 1/4 - 5 1/3 × 1 1/8 is 9.