Identify the ascending numerical order of these fractions. 3/10, 3/8, 2/5, 1/4, 3/6,
1/4, 3/10, 2/5, 3/6, 3/8
To identify the ascending numerical order of these fractions, we can compare them by finding their equivalent decimal values or by comparing the numerators and denominators directly.
Let's evaluate the fractions using their decimal equivalents:
3/10 = 0.3
3/8 = 0.375
2/5 = 0.4
1/4 = 0.25
3/6 = 0.5 (which simplifies to 1/2)
Now, let's arrange them in ascending order:
1/4 = 0.25
3/10 = 0.3
3/8 = 0.375
2/5 = 0.4
3/6 = 0.5
Therefore, the ascending numerical order of the given fractions is as follows:
1/4, 3/10, 3/8, 2/5, 3/6.
To identify the ascending numerical order of these fractions: 3/10, 3/8, 2/5, 1/4, 3/6, we need to compare the fractions and arrange them from least to greatest.
Step 1: Simplify the fractions, if possible.
- 3/10 is already in its simplified form.
- 3/8 is already in its simplified form.
- 2/5 is already in its simplified form.
- 1/4 is already in its simplified form.
- 3/6 can be simplified. The numerator and denominator share a common factor of 3. By dividing both by 3, we get 1/2.
After simplification, the fractions become:
3/10, 3/8, 2/5, 1/4, 1/2.
Step 2: Find a common denominator.
To compare the fractions directly, we need to find a common denominator. In this case, the least common denominator (LCD) is 40. To convert each fraction into one with a denominator of 40, we need to multiply both the numerator and denominator of each fraction by the appropriate factor:
- 3/10 can be converted to 12/40 by multiplying the numerator and denominator by 4.
- 3/8 can be converted to 15/40 by multiplying the numerator and denominator by 5.
- 2/5 can be converted to 16/40 by multiplying the numerator and denominator by 8.
- 1/4 can be converted to 10/40 by multiplying the numerator and denominator by 10.
- 1/2 can be converted to 20/40 by multiplying the numerator and denominator by 20.
After converting, the fractions become:
12/40, 15/40, 16/40, 10/40, 20/40.
Step 3: Arrange the fractions in ascending order.
Now that all the fractions share a common denominator, we can compare their numerators and arrange them in ascending order:
10/40, 12/40, 15/40, 16/40, 20/40.
Converting these fractions back to their original form, we have:
1/4, 3/10, 3/8, 2/5, 1/2.
Therefore, the ascending numerical order of the fractions is:
1/4, 3/10, 3/8, 2/5, 1/2.