Question

1 9/10×20/27+5/16÷10/24-5/9×1 7/20=

Answer 1

10*2/27+5/16*24/10-1/9*17/4=38/27+1/2*3/2-17/36=38/26+3/4-17/36=91/54=1 37/54≈1.7

Answer 2

1 9/10×20/27=19/10×20/27=19/1×2/27=19/54
5/16÷10/24=5/16×24/10=1/2×3/2=3/4
5/9×1 7/20=5/9×27/20=1/1×3/4=3/4
19/54+3/4-3/4=19/54

Answer 3

To solve the expression, let's break it down step by step:

Step 1: Simplify each fraction individually:

9/10 × 20/27 = (9 × 20) / (10 × 27) = 180 / 270 = 6/9 = 2/3

5/16 ÷ 10/24 = (5/16) × (24/10) = (5 × 24) / (16 × 10) = 120 / 160 = 3/4

5/9 × 1 7/20 = (5/9) × (20/20) + (5/9) × (7/20) = (100/180) + (35/180) = 135/180 = 3/4

Step 2: Substitute the simplified fractions back into the expression:

2/3 + 3/4 - 3/4

Step 3: Find a common denominator for the fractions:

The common denominator for 3 and 4 is 12.

2/3 = (2 × 4) / (3 × 4) = 8/12 3/4 remains the same. 3/4 remains the same.

Step 4: Perform the addition and subtraction:

8/12 + 3/4 - 3/4 = 8/12 + 0 = 8/12 = 2/3

Therefore, the final result of the expression 1 9/10 × 20/27 + 5/16 ÷ 10/24 - 5/9 × 1 7/20 is 2/3.