Answer :
To solve the problem [tex]\(\frac{6}{7} \div \frac{7}{10}\)[/tex], we need to remember that dividing by a fraction is the same as multiplying by its reciprocal. Here's how we can find the answer step-by-step:
1. Identify the Problem:
We have [tex]\(\frac{6}{7} \div \frac{7}{10}\)[/tex].
2. Find the Reciprocal:
The reciprocal of [tex]\(\frac{7}{10}\)[/tex] is [tex]\(\frac{10}{7}\)[/tex].
3. Multiply by the Reciprocal:
So, [tex]\(\frac{6}{7} \div \frac{7}{10}\)[/tex] is the same as [tex]\(\frac{6}{7} \times \frac{10}{7}\)[/tex].
4. Perform the Multiplication:
Multiply the numerators: [tex]\(6 \times 10 = 60\)[/tex].
Multiply the denominators: [tex]\(7 \times 7 = 49\)[/tex].
5. Write the Result as a Fraction:
The result of the multiplication is [tex]\(\frac{60}{49}\)[/tex].
Therefore, the answer is [tex]\(\frac{60}{49}\)[/tex]. Checking it against the multiple-choice options, the correct answer is option A: [tex]\(\frac{60}{49}\)[/tex].
1. Identify the Problem:
We have [tex]\(\frac{6}{7} \div \frac{7}{10}\)[/tex].
2. Find the Reciprocal:
The reciprocal of [tex]\(\frac{7}{10}\)[/tex] is [tex]\(\frac{10}{7}\)[/tex].
3. Multiply by the Reciprocal:
So, [tex]\(\frac{6}{7} \div \frac{7}{10}\)[/tex] is the same as [tex]\(\frac{6}{7} \times \frac{10}{7}\)[/tex].
4. Perform the Multiplication:
Multiply the numerators: [tex]\(6 \times 10 = 60\)[/tex].
Multiply the denominators: [tex]\(7 \times 7 = 49\)[/tex].
5. Write the Result as a Fraction:
The result of the multiplication is [tex]\(\frac{60}{49}\)[/tex].
Therefore, the answer is [tex]\(\frac{60}{49}\)[/tex]. Checking it against the multiple-choice options, the correct answer is option A: [tex]\(\frac{60}{49}\)[/tex].
