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5over6 divided by 1 and 1 half
To divide 5/6 by 1 1/2, you need to convert the mixed number (1 1/2) into an improper fraction. Here's how you can do it step by step:
Step 1: Convert the mixed number 1 1/2 into an improper fraction
To do this, multiply the whole number (1) by the denominator of the fraction (2), and then add the numerator (1). This gives you:
1 * 2 + 1 = 3/2
So, 1 1/2 can be written as 3/2.
Step 2: Rewrite the division problem using the improper fraction
Now that you have 5/6 divided by 3/2, you can simply rewrite it as:
(5/6) ÷ (3/2)
Step 3: Invert the divisor and multiply
When dividing fractions, you need to take the reciprocal (invert) the divisor (the second fraction) and multiply it by the dividend (the first fraction). In this case, the reciprocal of 3/2 is 2/3. Therefore, you can rewrite the division problem as:
(5/6) * (2/3)
Step 4: Multiply the numerators and denominators
Simply multiply the numerators to get the new numerator and multiply the denominators to get the new denominator. This gives you:
(5 * 2) / (6 * 3)
= 10/18
Step 5: Simplify, if possible
To simplify the fraction, find the greatest common divisor (GCD) between the numerator (10) and the denominator (18). In this case, the GCD is 2. Divide both the numerator and the denominator by 2 to simplify the fraction:
10 ÷ 2 / 18 ÷ 2
= 5/9
So, 5/6 divided by 1 1/2 is equal to 5/9.