Question

|-5/9|×|-7/8|+|1/72|

Answer 1

$| - \frac{5}{9} | x | - \frac{7}{8} | + | \frac{1}{72} | = \frac{5}{9} x \times \frac{7}{8} + \frac{1}{72} = \frac{35}{72} x + \frac{1}{72}$

Answer 2

To calculate the expression, let's simplify each absolute value and perform the operations step by step.

|-5/9| = 5/9 (since the absolute value of any negative number is its positive counterpart) |-7/8| = 7/8 (similarly, the absolute value of -7/8 is 7/8) |1/72| = 1/72 (the absolute value of any positive number remains the same)

Now we can substitute these values into the expression:

(5/9) × (7/8) + (1/72)

To multiply fractions, we multiply the numerators together and the denominators together:

(5 × 7) / (9 × 8) + 1/72

= 35/72 + 1/72

The denominators are the same, so we can add the numerators:

(35 + 1) / 72

= 36/72

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 36:

36 ÷ 36 / 72 ÷ 36

= 1/2

Therefore, |-5/9| × |-7/8| + |1/72| simplifies to 1/2.