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Arrange the following fractions in ascending order \( 1 / 4,2 / 31 / 2,3 / 4 \) \( 5 / 6 \).

Ask by Wyatt Chambers. in Nigeria
Feb 17,2025

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Tutor-Verified Answer

Answer

The fractions in ascending order are: 1/4, 1/2, 2/3, 3/4, 5/6.

Solution

To arrange the fractions 1/4, 2/3, 1/2, 3/4, 5/6 in ascending order, we can compare their decimal values or convert them to have a common denominator. Step 1. Convert each fraction to its decimal equivalent:  • 1/4 = 0.25  • 1/2 = 0.5  • 2/3 ≈ 0.6667  • 3/4 = 0.75  • 5/6 ≈ 0.8333 Step 2. Arrange the decimals in increasing value:  0.25 < 0.5 < 0.6667 < 0.75 < 0.8333 Thus, in ascending order the fractions are:  1/4, 1/2, 2/3, 3/4, 5/6 Alternatively, you can convert them to a common denominator (for example, 12 works well):  • 1/4 = 3/12  • 1/2 = 6/12  • 2/3 = 8/12  • 3/4 = 9/12  • 5/6 = 10/12 Then clearly:  3/12 < 6/12 < 8/12 < 9/12 < 10/12 This confirms the ascending order:  1/4, 1/2, 2/3, 3/4, 5/6.

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Bonus Knowledge

To arrange the fractions \( \frac{1}{4}, \frac{2}{3}, \frac{1}{2}, \frac{3}{4}, \frac{5}{6} \) in ascending order, it's helpful to convert them to a common denominator or to decimal form. The decimal equivalents reveal that \( \frac{1}{4} = 0.25 \), \( \frac{1}{2} = 0.5 \), \( \frac{2}{3} \approx 0.67 \), \( \frac{3}{4} = 0.75 \), and \( \frac{5}{6} \approx 0.83 \). Thus, in ascending order, they are \( \frac{1}{4}, \frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{5}{6} \). Understanding how to compare fractions can be quite fun! Did you know that visual tools like fraction circles or bars can help make this process easier? You can actually see how each fraction compares to the others, which might just turn a head-scratching problem into a simple slicing puzzle! When arranging fractions, a common mistake is assuming they are in order just by looking at their numerators or denominators. Always remember to find a common denominator or convert them to decimals! This way, you'll avoid the mix-up and confidently establish the correct order. It's as straightforward as pie!

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