Divide. Write the quotient in simplest form.
3/4 ÷ 45 (1 point)
1. 12/20
2. 15/16
3. 7/9
4. 6/5
To divide 3/4 by 45, we can multiply the numerator (3) by the reciprocal of the denominator (45), which is 1/45:
3/4 × 1/45
Multiplying the numerators and denominators:
(3 × 1) / (4 × 45) = 3/180
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:
3/180 ÷ 3/3 = 1/60
So, the quotient in simplest form is 1/60.
To divide the fractions, you would need to multiply the first fraction (3/4) by the reciprocal of the second fraction (45/1).
The reciprocal of a fraction is obtained by switching the numerator and the denominator.
So, the reciprocal of 45/1 is 1/45.
Now, we can multiply the fractions:
3/4 × 1/45 = (3 × 1) / (4 × 45)
= 3/180
= 1/60
The quotient in simplest form is 1/60.
Therefore, the correct answer is not listed.
To divide fractions, you can follow these steps:
Step 1: Write the first fraction (3/4).
Step 2: Flip the second fraction and turn division into multiplication. So, 45 becomes 1/45.
Step 3: Multiply the numerators (top numbers) together: 3 * 1 = 3.
Step 4: Multiply the denominators (bottom numbers) together: 4 * 45 = 180.
Step 5: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD). In this case, both the numerator and denominator can be divided by 3, resulting in 3/60.
Step 6: Further simplify the fraction by dividing both numerator and denominator by their common factors. Both 3 and 60 can be divided by 3, giving the final simplified fraction: 1/20.
Therefore, the quotient of 3/4 ÷ 45 in the simplest form is 1/20.