Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Provide equivalent fractions for the following:

1. [tex]\(\frac{2}{5}\)[/tex]
2. [tex]\(\frac{3}{8}\)[/tex]
3. [tex]\(\frac{6}{15}\)[/tex]

Sagot :

GinnyAnswer
To find equivalent fractions for the given fractions [tex]\( \frac{2}{5} \)[/tex], [tex]\( \frac{3}{8} \)[/tex], and [tex]\( \frac{6}{15} \)[/tex], we can multiply both the numerator and the denominator of each fraction by the same number (k). Here, we will find three equivalent fractions for each of these fractions by multiplying the numerator and the denominator by 2, 3, and 4 respectively.

1. For the fraction [tex]\( \frac{2}{5} \)[/tex]:
- Multiplying by 2: [tex]\(\frac{2 \times 2}{5 \times 2} = \frac{4}{10}\)[/tex]
- Multiplying by 3: [tex]\(\frac{2 \times 3}{5 \times 3} = \frac{6}{15}\)[/tex]
- Multiplying by 4: [tex]\(\frac{2 \times 4}{5 \times 4} = \frac{8}{20}\)[/tex]

Thus, the equivalent fractions for [tex]\( \frac{2}{5} \)[/tex] are [tex]\( \frac{4}{10} \)[/tex], [tex]\( \frac{6}{15} \)[/tex], and [tex]\( \frac{8}{20} \)[/tex].

2. For the fraction [tex]\( \frac{3}{8} \)[/tex]:
- Multiplying by 2: [tex]\(\frac{3 \times 2}{8 \times 2} = \frac{6}{16}\)[/tex]
- Multiplying by 3: [tex]\(\frac{3 \times 3}{8 \times 3} = \frac{9}{24}\)[/tex]
- Multiplying by 4: [tex]\(\frac{3 \times 4}{8 \times 4} = \frac{12}{32}\)[/tex]

Thus, the equivalent fractions for [tex]\( \frac{3}{8} \)[/tex] are [tex]\( \frac{6}{16} \)[/tex], [tex]\( \frac{9}{24} \)[/tex], and [tex]\( \frac{12}{32} \)[/tex].

3. For the fraction [tex]\( \frac{6}{15} \)[/tex]:
- Multiplying by 2: [tex]\(\frac{6 \times 2}{15 \times 2} = \frac{12}{30}\)[/tex]
- Multiplying by 3: [tex]\(\frac{6 \times 3}{15 \times 3} = \frac{18}{45}\)[/tex]
- Multiplying by 4: [tex]\(\frac{6 \times 4}{15 \times 4} = \frac{24}{60}\)[/tex]

Thus, the equivalent fractions for [tex]\( \frac{6}{15} \)[/tex] are [tex]\( \frac{12}{30} \)[/tex], [tex]\( \frac{18}{45} \)[/tex], and [tex]\( \frac{24}{60} \)[/tex].

In summary, the equivalent fractions for each given fraction are:

- [tex]\( \frac{2}{5} \)[/tex]: [tex]\( \frac{4}{10} \)[/tex], [tex]\( \frac{6}{15} \)[/tex], [tex]\( \frac{8}{20} \)[/tex]
- [tex]\( \frac{3}{8} \)[/tex]: [tex]\( \frac{6}{16} \)[/tex], [tex]\( \frac{9}{24} \)[/tex], [tex]\( \frac{12}{32} \)[/tex]
- [tex]\( \frac{6}{15} \)[/tex]: [tex]\( \frac{12}{30} \)[/tex], [tex]\( \frac{18}{45} \)[/tex], [tex]\( \frac{24}{60} \)[/tex]
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.