What is:
1. \(\frac{6}{7}\) divided by \(\frac{2}{7}\)?
2. \(\frac{4}{5}\) divided by \(\frac{2}{5}\)?
3. \(\frac{4}{7}\) divided by 2?
4. \(\frac{12}{13}\) divided by 3?
Answer (3)
6/7÷2/7 = 3
4/5÷2/5 = 2
4/7÷2 = 2/7
12/13÷3 = 4/13
HOPE THIS HELPS!!!!!!!!!!!
Understanding Division of Fractions
When dividing fractions, the process involves multiplying by the reciprocal of the divisor. Let's solve each division problem step by step:
6/7 divided by 2/7: To divide by 2/7, we multiply 6/7 by the reciprocal of 2/7, which is 7/2. Thus, (6/7) × (7/2) equals 3.
4/5 divided by 2/5: Similarly, we multiply 4/5 by the reciprocal of 2/5, which is 5/2. Therefore, (4/5) × (5/2) equals 2.
4/7 divided by 2: We treat the whole number 2 as a fraction, 2/1, and multiply by its reciprocal, 1/2. So, (4/7) × (1/2) equals 2/7.
12/13 divided by 3: Again, 3 as a fraction is 3/1. Multiplying by its reciprocal, 1/3, we have (12/13) × (1/3) equating to 4/13.
In conclusion, to divide one fraction by another, we multiply the first fraction by the reciprocal of the second. This is a fundamental principle in mathematics related to the operations of multiplication and division.
To divide fractions, convert the division into multiplication using the reciprocal of the second fraction. The answers are: 3 for 7 6 ÷ 7 2 , 2 for 5 4 ÷ 5 2 , 7 2 for 7 4 ÷ 2 , and 13 4 for 13 12 ÷ 3 . This method helps simplify the division process into multiplication, which is easier to handle.
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