Compute:6/7÷3/5. Simplify the answer if possible.(1 point)
To divide fractions, you multiply by the reciprocal of the second fraction. Therefore:
6/7 ÷ 3/5
equals
6/7 × 5/3
Now, to multiply the fractions together, multiply the numerators and then the denominators:
(6 × 5) / (7 × 3) = 30/21
To simplify this fraction, we find the greatest common divisor (GCD) of the numerator and denominator, which is 3. Thus:
30/21 = (30 ÷ 3) / (21 ÷ 3) = 10/7
Therefore, the simplified answer is 10/7.
wrong
I apologize for the incorrect explanation.
To divide fractions, you multiply by the reciprocal of the second fraction. Therefore:
6/7 ÷ 3/5
equals
6/7 × 5/3
Now, to multiply the fractions together, multiply the numerators and the denominators:
(6 × 5) / (7 × 3) = 30/21
The fraction 30/21 can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator, which is 3. Thus:
30/21 = (30 ÷ 3) / (21 ÷ 3) = 10/7
Therefore, the simplified answer is 10/7.
wrong answer
Apologies for the confusion.
To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction.
To divide 6/7 by 3/5:
6/7 ÷ 3/5 = 6/7 × 5/3
Now, multiply the numerators and the denominators:
(6 × 5) / (7 × 3) = 30/21
The numerator and denominator of the fraction have a common factor of 3. Dividing both by 3 gives:
(30 ÷ 3) / (21 ÷ 3) = 10/7
Therefore, the simplified answer is 10/7.