12 1/2 divided by 5/6 is what? I am not sure how to do this, and i am soooooooooooo tired. Can anyone help!?
(25/2) / (5/6)
(25/2) * (6/5) = 150/10 = 15
Thanks so much!!
Of course, I can help you with that! To divide 12 1/2 by 5/6, we need to convert the mixed number into a fraction form. Here's how you can do it step by step:
Step 1: Convert the mixed number to an improper fraction.
To convert 12 1/2 to an improper fraction, multiply the whole number (12) by the denominator of the fraction (2) and add the numerator (1). The result is the numerator of the improper fraction. Keep the denominator the same.
12 × 2 + 1 = 24 + 1 = 25
So, 12 1/2 is equivalent to the improper fraction 25/2.
Step 2: Divide the improper fraction by the fraction.
To divide fractions, we need to take the reciprocal (invert) the second fraction and then multiply the two fractions.
25/2 ÷ 5/6 is the same as 25/2 × 6/5.
Step 3: Simplify the resulting fraction.
Multiply the numerators together (25 × 6) and the denominators together (2 × 5).
(25 × 6) / (2 × 5) = 150/10
Step 4: Simplify the fraction, if necessary.
Since both 150 and 10 are divisible by 10, we can simplify the fraction further.
Divide both the numerator and the denominator by 10.
150 ÷ 10 / 10 ÷ 10 = 15/1 = 15
So, 12 1/2 divided by 5/6 is equal to 15.
I hope this explanation helps!