College

We appreciate your visit to Choose the sequence that orders the fractions from least to greatest A tex frac 3 10 frac 5 6 frac 7 12 frac 14 15. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Choose the sequence that orders the fractions from least to greatest.

A. [tex]\(\frac{3}{10}, \frac{5}{6}, \frac{7}{12}, \frac{14}{15}\)[/tex]

B. [tex]\(\frac{3}{10}, \frac{7}{12}, \frac{5}{6}, \frac{14}{15}\)[/tex]

C. [tex]\(\frac{5}{6}, \frac{3}{10}, \frac{14}{15}, \frac{7}{12}\)[/tex]

Answer :

To compare the fractions and order them from least to greatest, we need to look at the fractions given in each option and convert them into decimal numbers to make them easy to compare. Here are the fractions in each option:

Option A:
- [tex]\(\frac{3}{10}\)[/tex]
- [tex]\(\frac{5}{6}\)[/tex]
- [tex]\(\frac{7}{12}\)[/tex]
- [tex]\(\frac{14}{15}\)[/tex]

Option B:
- [tex]\(\frac{3}{10}\)[/tex]
- [tex]\(\frac{7}{12}\)[/tex]
- [tex]\(\frac{5}{6}\)[/tex]
- [tex]\(\frac{14}{15}\)[/tex]

Option C:
- [tex]\(\frac{5}{6}\)[/tex]
- [tex]\(\frac{3}{10}\)[/tex]
- [tex]\(\frac{14}{15}\)[/tex]
- [tex]\(\frac{7}{12}\)[/tex]

Let's analyze the fractions:

1. Fraction [tex]\(\frac{3}{10}\)[/tex]
- Decimal: [tex]\(0.3\)[/tex]

2. Fraction [tex]\(\frac{7}{12}\)[/tex]
- Decimal: [tex]\(0.5833... \approx 0.58\)[/tex]

3. Fraction [tex]\(\frac{5}{6}\)[/tex]
- Decimal: [tex]\(0.8333... \approx 0.83\)[/tex]

4. Fraction [tex]\(\frac{14}{15}\)[/tex]
- Decimal: [tex]\(0.9333... \approx 0.93\)[/tex]

Now, placing these decimals in order from least to greatest:

- [tex]\(0.3\)[/tex] corresponds to [tex]\(\frac{3}{10}\)[/tex]
- [tex]\(0.5833...\)[/tex] corresponds to [tex]\(\frac{7}{12}\)[/tex]
- [tex]\(0.8333...\)[/tex] corresponds to [tex]\(\frac{5}{6}\)[/tex]
- [tex]\(0.9333...\)[/tex] corresponds to [tex]\(\frac{14}{15}\)[/tex]

So, the order of the fractions from least to greatest is:

[tex]\[
\frac{3}{10}, \frac{7}{12}, \frac{5}{6}, \frac{14}{15}
\][/tex]

This sequence of fractions is present in Option A:

[tex]\[
\text{Option A:} \quad \frac{3}{10}, \frac{7}{12}, \frac{5}{6}, \frac{14}{15}
\][/tex]

Therefore, Option A is the correct choice for ordering these fractions from least to greatest.

Thanks for taking the time to read Choose the sequence that orders the fractions from least to greatest A tex frac 3 10 frac 5 6 frac 7 12 frac 14 15. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada