Question

(1 3/25 - 4/25 ) : ( 1 - 2/5 ) • ( 10 - 9 1/16 )​

Answer 1

Пошаговое объяснение:

(9/25):(3/5)*(15/16)=9/25*5/3*15/16=3/5*15/16=9/16

Answer 2

To simplify the expression (1 3/25 - 4/25) : (1 - 2/5) • (10 - 9 1/16), you can follow these steps:

Step 1: Simplify each part of the expression separately.

First, simplify (1 3/25 - 4/25): 1 3/25 - 4/25 = (25/25 + 3/25) - 4/25 = (28/25) - (4/25) = 24/25

So, (1 3/25 - 4/25) simplifies to 24/25.

Next, simplify (1 - 2/5): 1 - 2/5 = (5/5) - (2/5) = 3/5

So, (1 - 2/5) simplifies to 3/5.

Finally, simplify (10 - 9 1/16): To subtract a mixed number like 9 1/16 from 10, you can borrow from the whole number: 10 - 9 = 1 Now, subtract the fractions: 1 - 1/16 = 16/16 - 1/16 = 15/16

So, (10 - 9 1/16) simplifies to 15/16.

Step 2: Substitute the simplified values back into the original expression: (24/25) : (3/5) • (15/16)

Step 3: Perform the division and multiplication: (24/25) : (3/5) = (24/25) * (5/3)

Now, multiply the fractions: (24/25) * (5/3) = (24 * 5) / (25 * 3) = 120/75

Step 4: Simplify the fraction 120/75 by dividing both the numerator and denominator by their greatest common divisor, which is 15: (120/15) / (75/15) = 8/5

So, the simplified result of the expression is 8/5.