1 2/3 divided by 1/4 in simplest form
To divide 1 2/3 by 1/4, we can first convert the mixed number to an improper fraction.
1 2/3 can be written as (3 * 1 + 2)/3 = 5/3.
Now we can divide 5/3 by 1/4:
5/3 ÷ 1/4 = 5/3 * 4/1.
Multiplying the numerators and denominators together, we get:
(5 * 4)/(3 * 1) = 20/3.
So, 1 2/3 divided by 1/4 in simplest form is equal to 20/3.
To divide 1 2/3 by 1/4 and simplify the result, follow these steps:
Step 1: Convert the mixed number 1 2/3 to an improper fraction.
1 2/3 = (1 * 3 + 2)/3 = 5/3
Step 2: Invert the divisor (1/4) to find its reciprocal.
Reciprocal of 1/4 = 4/1 = 4
Step 3: Rewrite the division as a multiplication of the dividend by the reciprocal of the divisor.
5/3 ÷ 1/4 = 5/3 * 4 = (5 * 4)/(3 * 1) = 20/3
Step 4: Simplify the fraction.
The fraction 20/3 cannot be simplified any further because 20 and 3 do not share any common factors other than 1.
Therefore, 1 2/3 divided by 1/4, in simplest form, is equal to 20/3.
To divide 1 2/3 by 1/4 and simplify the result, you can follow these steps:
Step 1: Convert the mixed number to an improper fraction.
To convert 1 2/3 to an improper fraction, multiply the whole number (1) by the denominator of the fraction (3) and add the numerator (2). Then place the sum over the original denominator. In this case, the improper fraction equivalent of 1 2/3 is (3*1 + 2)/3 = 5/3.
Step 2: Invert the divisor.
To divide fractions, you need to invert the divisor. In this case, the divisor is 1/4, so its reciprocal (inverted form) is 4/1.
Step 3: Multiply the dividend by the reciprocal.
Multiply the dividend (5/3) by the reciprocal of the divisor (4/1). When you multiply fractions, multiply the numerators together and the denominators together. So, (5/3) * (4/1) = (5*4) / (3*1) = 20/3.
Step 4: Simplify the resulting fraction.
To simplify 20/3, you need to divide the numerator by the denominator and express the result as a mixed number (if possible). In this case, 20 divided by 3 is 6 with a remainder of 2. Therefore, the fraction 20/3 in simplest form is 6 2/3.
So, 1 2/3 divided by 1/4, simplified in simplest form, is equal to 6 2/3.