Question

1 3/4×2 4/7÷4 1/2+2 2/5÷9/10×3/8

Answer 1

1 3/4*2 4/7:4 1/2+ 2 2/5:9/10*3/8=7/4*18/7*2/9+12/5*10/9*3/8=4/4+6/6=1+1=2

Answer 2

Let's break this expression down into smaller parts and simplify them one by one, following the order of operations (parentheses, exponents, multiplication/division, addition/subtraction):

1. First, let's simplify 2 4/7 ÷ 4 1/2:

   To divide fractions, we need to invert the second fraction and multiply. So we have:

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    2 4/7 ÷ 4 1/2
    = (2×7+4)/7 ÷ (4×2+1)/2   (converting mixed numbers to improper fractions)
    = 18/7 ÷ 9/2
    = 18/7 × 2/9
    = 4/7
   

2. Next, let's simplify 9/10 × 3/8:

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    9/10 × 3/8
    = (3×9)/(2×5) × 3/8
    = 27/40
   

3. Now, we can substitute the results of step 1 and step 2 into the original expression:

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    1 3/4 × 4/7 + 27/40
    = (1×4+3)/4 × 4/7 + 27/40   (converting mixed numbers to improper fractions)
    = 7/4 × 4/7 + 27/40
    = 1 + 27/40
    = 67/40
   

Therefore, the final answer is 67/40.