Evaluate: 13/4 - 31/6

To evaluate the expression 13/4 - 31/6, we need to find a common denominator for the fractions. In this case, the least common denominator (LCD) is 12.

- Find the equivalent fractions with a denominator of 12:
13/4 = (13/4) * (3/3) = 39/12
31/6 = (31/6) * (2/2) = 62/12

- Subtract the fractions:
39/12 - 62/12 = (39 - 62)/12 = -23/12

Therefore, 13/4 - 31/6 is equal to -23/12.

Evaluate: 10/3 ÷ 0.087

To evaluate the expression 10/3 ÷ 0.087, we can simplify it by dividing the numerator by the denominator.

- Divide 10/3 by 0.087:
(10/3) ÷ 0.087 = (10/3) * (1/0.087) = (10/3) * (1/(87/1000)) = (10/3) * (1000/87) = (10 * 1000) / (3 * 87) = 10000/261

Therefore, 10/3 ÷ 0.087 is equal to 10000/261.

Evaluate: 0.3717 ÷ 0.9

To evaluate the expression 0.3717 ÷ 0.9, we can divide the numerator by the denominator.

- Divide 0.3717 by 0.9:
0.3717 ÷ 0.9 = 0.3717 / 0.9 = 0.412

Therefore, 0.3717 ÷ 0.9 is equal to 0.412.

Summary:
- 13/4 - 31/6 = -23/12
- 10/3 ÷ 0.087 = 10000/261
- 0.3717 ÷ 0.9 = 0.412