Divide. 3/4 divide into 9 Write each result in simplest form.
9 / 3/4 = 9/1 * 4/3 = 36/3 = 12
To divide 3/4 by 9 and write the result in simplest form, follow these steps:
Step 1: Write the fraction division expression.
3/4 ÷ 9
Step 2: Invert the divisor (the number you're dividing by) and turn it into a fraction.
9 becomes 9/1.
Step 3: Change the division operation to multiplication by multiplying the numerator (top number) of the dividend (the number being divided) by the flipped divisor's reciprocal (the flipped version of the fraction).
3/4 ÷ 9/1 = 3/4 × 1/9
Step 4: Multiply the numerators and denominators of the fractions.
3 × 1 = 3 (numerator) and 4 × 9 = 36 (denominator)
Step 5: Simplify the fraction if possible. In this case, the fraction is already in its simplest form, so the answer is:
3/36
Therefore, 3/4 divided by 9, written in simplest form, is 3/36.
To divide 3/4 by 9 and write the result in simplest form, follow these steps:
Step 1: Write the division expression.
3/4 ÷ 9
Step 2: Convert the whole number to a fraction.
Since 9 can be written as 9/1, we will convert it to a fraction: 3/4 ÷ 9/1
Step 3: Flip the second fraction and change the division sign to multiplication.
To divide fractions, we multiply by the reciprocal of the second fraction. Therefore, we flip 9/1 to become its reciprocal, which is 1/9, and change the division sign to multiplication: 3/4 × 1/9
Step 4: Simplify the fraction.
Multiply the numerators together: 3 × 1 = 3
Multiply the denominators together: 4 × 9 = 36
The result is 3/36.
Step 5: Simplify the fraction further.
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator, which is the largest number that divides both numbers evenly. In this case, the GCD of 3 and 36 is 3.
Divide both the numerator and denominator by the GCD:
(3 ÷ 3) / (36 ÷ 3) = 1/12
The simplified form of 3/4 ÷ 9 is 1/12.