Question

1 3/4-7/8-(4/9+1/18)-5/16

Answer 1

1) 4/9+1/18=8/18+1/18=9/18=1/2
2)7/4-7/8-5/16=28/16-14/16-5/16= 9/16
3)9/16-1/2=9/16-8/16=1/16
Ответ: 1/16

Answer 2

To solve the expression 1 3/4 - 7/8 - (4/9 + 1/18) - 5/16, we can simplify each part of the expression step by step:

Step 1: Convert mixed numbers to improper fractions: 1 3/4 = (4 * 1 + 3) / 4 = 7/4

Step 2: Simplify the expression inside the parentheses: 4/9 + 1/18 = (8/18 + 1/18) = 9/18 = 1/2

Step 3: Subtract the fraction inside the parentheses: 7/4 - 7/8 - (1/2) - 5/16

Step 4: Find a common denominator for all the fractions involved (4, 8, 2, 16 have a common multiple of 16): Multiply each fraction by the appropriate factor to make the denominators equal to 16:

(7/4) * (4/4) = 28/16 (7/8) * (2/2) = 14/16 (1/2) * (8/8) = 8/16 (5/16)

Step 5: Perform the subtraction: 28/16 - 14/16 - 8/16 - 5/16

Step 6: Combine the numerators: (28 - 14 - 8 - 5) / 16 = 1/16

Therefore, 1 3/4 - 7/8 - (4/9 + 1/18) - 5/16 equals 1/16.