Divide. Write the answer in simplest form.
4 1/6÷1 1/8
To divide the given fractions, we can convert the mixed numbers into improper fractions and then follow the rule for dividing fractions.
Step 1: Convert the mixed numbers into improper fractions:
4 1/6 = (4 * 6 + 1)/6 = 25/6
1 1/8 = (1 * 8 + 1)/8 = 9/8
Step 2: Flip the second fraction (the divisor) and change the division sign into multiplication:
25/6 ÷ 9/8 = 25/6 * 8/9
Step 3: Multiply the numerators together and the denominators together:
(25 * 8)/(6 * 9) = 200/54
Step 4: Simplify the fraction by reducing it to its simplest form:
To simplify, we can divide the numerator and denominator by their greatest common divisor, which is 2:
200/54 ÷ 2/2 = 100/27
So, 4 1/6 ÷ 1 1/8 in simplest form is 100/27.
To divide the mixed numbers 4 1/6 ÷ 1 1/8 and simplify the answer, you can follow these steps:
Step 1: Convert the mixed numbers into improper fractions.
4 1/6 can be written as: (4 * 6 + 1) / 6 = 25/6
1 1/8 can be written as: (1 * 8 + 1) / 8 = 9/8
Step 2: Change the division into multiplication by taking the reciprocal of the second fraction.
25/6 ÷ 9/8 becomes 25/6 * 8/9
Step 3: Multiply the numerators together and the denominators together.
25/6 * 8/9 = (25 * 8) / (6 * 9) = 200/54
Step 4: Simplify the resulting fraction.
To simplify 200/54, you can find the greatest common divisor (GCD) of the numerator and denominator, which is 2. Divide both the numerator and denominator by 2.
200 ÷ 2 / 54 ÷ 2 = 100/27
Therefore, the simplified answer is 100/27.