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Arrange the fractions 2/15, 18/29, 7/18, 10/87 in ascending order.
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Solution: Step 1: Find the LCM of the denominators 15, 29, 18, and 87.
Step 2: The LCM of 15, 29, 18, and 87 is 2 * 3 * 3 * 5 * 29 = 2610.
Step 3: Convert each fraction to have the denominator 2610.
Step 4: The fractions become:
- (2/15) = (2 * 174) / (15 * 174) = 348 / 2610,
- (18/29) = (18 * 90) / (29 * 90) = 1620 / 2610,
- (7/18) = (7 * 145) / (18 * 145) = 1015 / 2610,
- (10/87) = (10 * 30) / (87 * 30) = 300 / 2610.
Step 5: Compare the numerators: 300, 348, 1015, 1620.
Step 6: The ascending order is 300 / 2610, 348 / 2610, 1015 / 2610, 1620 / 2610.
Step 7: Therefore, the fractions in ascending order are 10/87, 2/15, 7/18, 18/29.