Question

(2 3/4 - 5/8 ) :19 3/4

Answer 1

..= (11/4-5/8) : 79/4= (22/8-5/8)×4/79=17/8×4/79=17/158

Answer 2

(11/4-5/8):79/4=((22-5)/8)·4/79=17/8·4/79=17/158

Answer 3

To solve the expression (2 3/4 - 5/8) ÷ 19 3/4, we first need to convert the mixed numbers to improper fractions.

Step 1: Convert mixed numbers to improper fractions: 2 3/4 = (2 * 4 + 3) / 4 = 11/4 19 3/4 = (19 * 4 + 3) / 4 = 79/4

Step 2: Simplify the expression: (11/4 - 5/8) ÷ 79/4

Step 3: Find the common denominator: The common denominator for 4 and 8 is 8, so we need to rewrite the fractions using 8 as the denominator.

11/4 = (11/4) * (2/2) = 22/8 5/8 = 5/8

Step 4: Subtract the fractions: 22/8 - 5/8 = (22 - 5) / 8 = 17/8

Step 5: Divide by the fraction: (17/8) ÷ (79/4)

Step 6: Invert the divisor and multiply: (17/8) * (4/79) = (17 * 4) / (8 * 79) = 68/632

Step 7: Simplify the fraction if possible: The fraction 68/632 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4. 68/632 = (68/4) / (632/4) = 17/158

Therefore, (2 3/4 - 5/8) ÷ 19 3/4 is equal to 17/158.