Find the quotient of ⅔ and 4/8
*
3/4
1/3
8/24
1 ⅓
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 4/8 is 8/4.
Multiplying ⅔ by 8/4 gives us (2*8)/(3*4) = 16/12.
Simplifying this fraction gives us 4/3.
Therefore, the quotient of ⅔ and 4/8 is 4/3.
To find the quotient of ⅔ and 4/8, we need to divide ⅔ by 4/8.
Step 1: Simplify the fractions if possible.
⅔ is already simplified.
To simplify 4/8, we can divide both the numerator and denominator by their greatest common divisor, which is 4.
4 ÷ 4 = 1
8 ÷ 4 = 2
So, 4/8 simplifies to 1/2.
Step 2: Divide ⅔ by 1/2.
To divide fractions, we invert the divisor (the second fraction) and multiply.
So, ⅔ ÷ 1/2 becomes ⅔ * 2/1.
Step 3: Multiply the numerators.
⅔ * 2/1 = 2/3 * 2/1 = 4/3.
Therefore, the quotient of ⅔ and 4/8 is 4/3, which can also be written as 1 ⅓.
To find the quotient of ⅔ and 4/8, you need to divide the fraction ⅔ by the fraction 4/8. Here's how you can do it:
Step 1: Simplify the fractions, if necessary.
The fraction ⅔ is already in its simplest form.
The fraction 4/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4. This gives us 1/2.
Step 2: Invert the second fraction and multiply.
To divide fractions, you need to multiply the first fraction by the reciprocal (or inverse) of the second fraction. So, the reciprocal of 1/2 is 2/1.
Step 3: Multiply the fractions.
Now, you can multiply the first fraction ⅔ by the reciprocal 2/1:
⅔ * 2/1 = (3 * 2) / (2 * 3) = 6/6
Step 4: Simplify the result, if necessary.
The fraction 6/6 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 6. This gives us 1/1.
So, the quotient of ⅔ and 4/8 is 1/1, which is equivalent to 1.
Therefore, the answer is 1.