IDNLearn.com: Your one-stop platform for getting reliable answers to any question. Join our knowledgeable community and get detailed, reliable answers to all your questions.
Sagot :
To express the fractions [tex]\( \frac{3}{4} \)[/tex], [tex]\( \frac{7}{16} \)[/tex], and [tex]\( \frac{5}{8} \)[/tex] with the same common denominator:
1. Identify the Least Common Denominator (LCD):
- The denominators are [tex]\(4\)[/tex], [tex]\(16\)[/tex], and [tex]\(8\)[/tex].
- The least common multiple of these denominators is [tex]\(16\)[/tex].
2. Convert each fraction to have the LCD of [tex]\(16\)[/tex]:
- Convert [tex]\( \frac{3}{4} \)[/tex] to an equivalent fraction with a denominator of [tex]\(16\)[/tex].
- [tex]\( \frac{3}{4} = \frac{3 \times 4}{4 \times 4} = \frac{12}{16} \)[/tex]
- Convert [tex]\( \frac{7}{16} \)[/tex] to an equivalent fraction with a denominator of [tex]\(16\)[/tex].
- [tex]\( \frac{7}{16} = \frac{7}{16} \)[/tex] (already has denominator [tex]\(16\)[/tex])
- Convert [tex]\( \frac{5}{8} \)[/tex] to an equivalent fraction with a denominator of [tex]\(16\)[/tex].
- [tex]\( \frac{5}{8} = \frac{5 \times 2}{8 \times 2} = \frac{10}{16} \)[/tex]
3. Summarize the results:
- The fractions [tex]\( \frac{3}{4} \)[/tex], [tex]\( \frac{7}{16} \)[/tex], and [tex]\( \frac{5}{8} \)[/tex], when expressed with the least common denominator [tex]\(16\)[/tex], are [tex]\( \frac{12}{16} \)[/tex], [tex]\( \frac{7}{16} \)[/tex], and [tex]\( \frac{10}{16} \)[/tex], respectively.
Therefore, the best answer is:
A. [tex]\( \frac{12}{16}, \frac{7}{16}, \frac{10}{16} \)[/tex]
1. Identify the Least Common Denominator (LCD):
- The denominators are [tex]\(4\)[/tex], [tex]\(16\)[/tex], and [tex]\(8\)[/tex].
- The least common multiple of these denominators is [tex]\(16\)[/tex].
2. Convert each fraction to have the LCD of [tex]\(16\)[/tex]:
- Convert [tex]\( \frac{3}{4} \)[/tex] to an equivalent fraction with a denominator of [tex]\(16\)[/tex].
- [tex]\( \frac{3}{4} = \frac{3 \times 4}{4 \times 4} = \frac{12}{16} \)[/tex]
- Convert [tex]\( \frac{7}{16} \)[/tex] to an equivalent fraction with a denominator of [tex]\(16\)[/tex].
- [tex]\( \frac{7}{16} = \frac{7}{16} \)[/tex] (already has denominator [tex]\(16\)[/tex])
- Convert [tex]\( \frac{5}{8} \)[/tex] to an equivalent fraction with a denominator of [tex]\(16\)[/tex].
- [tex]\( \frac{5}{8} = \frac{5 \times 2}{8 \times 2} = \frac{10}{16} \)[/tex]
3. Summarize the results:
- The fractions [tex]\( \frac{3}{4} \)[/tex], [tex]\( \frac{7}{16} \)[/tex], and [tex]\( \frac{5}{8} \)[/tex], when expressed with the least common denominator [tex]\(16\)[/tex], are [tex]\( \frac{12}{16} \)[/tex], [tex]\( \frac{7}{16} \)[/tex], and [tex]\( \frac{10}{16} \)[/tex], respectively.
Therefore, the best answer is:
A. [tex]\( \frac{12}{16}, \frac{7}{16}, \frac{10}{16} \)[/tex]
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! IDNLearn.com has the answers you need. Thank you for visiting, and we look forward to helping you again soon.