how to put 2/3,1/2,4/5 and 7/30 in ascending order
Change all of the fractions to their equivalents with denominators of 30.
To put the fractions 2/3, 1/2, 4/5, and 7/30 in ascending order, follow these steps:
Step 1: Find a common denominator for the fractions.
In this case, the common denominator for 3, 2, 5, and 30 is 30.
Step 2: Convert all the fractions to have the same denominator.
2/3 becomes 20/30, 1/2 remains the same, 4/5 becomes 24/30, and 7/30 remains the same.
Step 3: Arrange the fractions in ascending order.
1/2, 7/30, 20/30, 24/30
Step 4: Simplify the fractions (if possible).
1/2, 7/30, 2/3, 4/5
Therefore, the fractions in ascending order are 1/2, 7/30, 2/3, and 4/5.
To put the fractions 2/3, 1/2, 4/5, and 7/30 in ascending order, you need to arrange them from smallest to largest. Here's the step-by-step process to compare and order these fractions:
1. Find a common denominator: To easily compare the fractions, you need to ensure they all have the same denominator. In this case, the least common denominator (LCD) for the set is 30, as it is divisible by all the denominators in the fractions (3, 2, 5, and 30).
2. Convert each fraction to the common denominator: To convert each fraction to have a denominator of 30, you need to multiply the numerator and denominator of each fraction by the same value such that the denominator becomes 30.
For 2/3: Multiply numerator and denominator by 10 (6/10)
For 1/2: Multiply numerator and denominator by 15 (15/30)
For 4/5: Multiply numerator and denominator by 6 (24/30)
For 7/30: No further changes needed (7/30)
3. Arrange the fractions in ascending order: Now that all fractions have the same denominator, you can compare the numerators to determine their order.
The fractions in ascending order:
6/10
15/30
24/30
7/30
Notice that in the third step, we compare the numerators directly since the denominator is the same for all fractions. If the denominators were different after the conversion, we would compare the fractions by cross-multiplying or finding a common denominator again.