17 11/12 / 6 1/10 = 343/366?
What's the original fraction before you reduced it?
17 11/12 / 6 1/10
I see that. I meant the original fraction for the answer before you reduced it to 343/366.
686/732
DrBob is right to be sceptical.
I did not get the answer you stated
I assume by 17 11/12 / 6 1/10
you meant (17 11/12) ÷ (6 1/10)
= (215/12)÷(61/10)
= (215/12)(10/61)
= 2150/732
= 1075/366 or 2 343/366
To determine if the equation 17 11/12 divided by 6 1/10 equals 343/366, we need to convert the mixed numbers into improper fractions.
First, convert 17 11/12 into an improper fraction:
17 × 12 + 11 = 215 (numerator)
12 (denominator)
So, 17 11/12 = 215/12.
Next, convert 6 1/10 into an improper fraction:
6 × 10 + 1 = 61 (numerator)
10 (denominator)
Therefore, 6 1/10 = 61/10.
Now, we can substitute the converted fractions into the equation:
215/12 ÷ 61/10 = ?
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction:
215/12 × 10/61 = ?
Now, we can simplify the fractions by finding their greatest common divisor (GCD). In this case, the GCD of 215 and 12 is 1, and the GCD of 10 and 61 is also 1. So, let's multiply the numerators and denominators:
(215 × 10) / (12 × 61) = 2150 / 732
But we notice that the numerator (2150) and denominator (732) have a common factor of 2. Let's simplify by dividing both the numerator and denominator by 2:
2150 ÷ 2 / 732 ÷ 2 = 1075 / 366
Now we can see that 2150 is divisible by 5 and 366 is divisible by 6. Let's divide both the numerator and denominator by their respective common factors:
1075 ÷ 5 / 366 ÷ 6 = 215 / 61
Finally, we have simplified the fraction to 215/61. So, the original equation 17 11/12 ÷ 6 1/10 does not equal 343/366.