Divide. Write the quotient in simplest form.
3/4 ÷ 45 (1 point)
12/20
15/16
7/9
6/5
The quotient of 3/4 ÷ 45 is 3/180 or in simplest form, 1/60.
To divide 3/4 by 45, we need to multiply the numerator (3) by the reciprocal of the denominator (45). The reciprocal of 45 is 1/45.
Therefore, the calculation would be:
3/4 × 1/45
To simplify this fraction, we can multiply the numerators together (3 × 1) and multiply the denominators together (4 × 45).
So the simplification becomes:
3/4 × 1/45 = (3 × 1) / (4 × 45) = 3/180
The simplified quotient is 3/180.
To divide the fraction 3/4 by the whole number 45, you need to follow these steps:
Step 1: Convert the whole number 45 into a fraction. Since the whole number is being divided by 1, its fraction form would have 1 as the denominator. Therefore, 45 can be written as 45/1.
Step 2: To divide fractions, you need to multiply the first fraction (numerator) by the reciprocal of the second fraction (denominator). The reciprocal of a fraction is achieved by swapping the numerator and denominator.
Therefore, the reciprocal of 45/1 becomes 1/45.
Step 3: Multiply the fractions together.
(3/4) × (1/45)
Step 4: Simplify the result. To simplify a fraction, find the greatest common divisor (GCD) of the numerator and denominator and divide both by the GCD.
The GCD of 3 and 45 is 3. Dividing both the numerator and denominator by 3 results in:
(3 ÷ 3) / (45 ÷ 3) = 1/15
The quotient, written in simplest form, is 1/15.
Therefore, the correct answer is 1/15.