Question

(48/54-8/45)*1 1/8=?

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To calculate the expression (48/54 - 8/45) * 1 1/8, you can follow these steps:

Step 1: Simplify the fractions within the parentheses:

48/54 = 8/9 8/45 = 8/45

So the expression becomes:

(8/9 - 8/45) * 1 1/8

Step 2: Find a common denominator for the fractions in the subtraction:

The least common multiple (LCM) of 9 and 45 is 45. So, we'll rewrite both fractions with a common denominator of 45:

(8/9) * (5/5) - (8/45) * (1/1) = (40/45) - (8/45)

Step 3: Subtract the fractions:

(40/45) - (8/45) = (40 - 8) / 45 = 32/45

Now the expression is:

(32/45) * 1 1/8

Step 4: Convert the mixed number to an improper fraction:

1 1/8 = (8/8 + 1/8) = 9/8

Step 5: Multiply the fractions:

(32/45) * (9/8)

Step 6: Multiply the numerators and denominators:

(32 * 9) / (45 * 8) = 288/360

Step 7: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which is 72:

(288/72) / (360/72) = 4/5

So, the final result is 4/5.