To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 1/2 is 2/1.
Therefore, we can rewrite the division as:
1/16 * 2/1
To multiply fractions, we multiply the numerators together and the denominators together:
1 * 2 = 2
16 * 1 = 16
Therefore, the result is 2/16.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
2 ÷ 2 = 1
16 ÷ 2 = 8
Therefore, the simplified fraction is 1/8.
To convert this to a mixed number, we divide the numerator by the denominator:
1 ÷ 8 = 0 with a remainder of 1
Therefore, the mixed number in simplest form is 0 1/8.
Compute: 1/16 ÷1/2. Convert the answer to a mixed number in simplest form.
3 answers
Compute: 1 1/6 ÷1/2. Convert the answer to a mixed number in simplest form.
To divide a mixed number by a fraction, we first convert the mixed number into an improper fraction.
To convert 1 1/6 to an improper fraction, we multiply the whole number (1) by the denominator of the fraction (6) and add the numerator (1). Then we place this sum over the denominator:
1 1/6 = (6 * 1 + 1) / 6 = 7/6
Now, we can rewrite the division as:
7/6 ÷ 1/2
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 1/2 is 2/1.
Therefore, we can rewrite the division as:
7/6 * 2/1
To multiply fractions, we multiply the numerators together and the denominators together:
7 * 2 = 14
6 * 1 = 6
Therefore, the result is 14/6.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
14 ÷ 2 = 7
6 ÷ 2 = 3
Therefore, the simplified fraction is 7/3.
To convert this to a mixed number, we divide the numerator (7) by the denominator (3):
7 ÷ 3 = 2 with a remainder of 1
Therefore, the mixed number in simplest form is 2 1/3.
To convert 1 1/6 to an improper fraction, we multiply the whole number (1) by the denominator of the fraction (6) and add the numerator (1). Then we place this sum over the denominator:
1 1/6 = (6 * 1 + 1) / 6 = 7/6
Now, we can rewrite the division as:
7/6 ÷ 1/2
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 1/2 is 2/1.
Therefore, we can rewrite the division as:
7/6 * 2/1
To multiply fractions, we multiply the numerators together and the denominators together:
7 * 2 = 14
6 * 1 = 6
Therefore, the result is 14/6.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
14 ÷ 2 = 7
6 ÷ 2 = 3
Therefore, the simplified fraction is 7/3.
To convert this to a mixed number, we divide the numerator (7) by the denominator (3):
7 ÷ 3 = 2 with a remainder of 1
Therefore, the mixed number in simplest form is 2 1/3.