Final answer:
The quotient of 14 divided by 3/8 is 37 1/3 or 37.3333.... This is found by multiplying 14 by the reciprocal of 3/8, which is 8/3.
Step-by-step explanation:
To find the quotient 14 ÷ 3/8, we need to divide 14 by 3/8. In mathematics, dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 3/8 is 8/3, so we multiply 14 by 8/3.
Step-by-step calculation:
- Convert the division into multiplication by the reciprocal:
14 × (8/3). - Multiply the whole number by the numerator of the fraction:
14 × 8 = 112. - Divide the result by the denominator of the fraction:
112 ÷ 3. - Perform the division to get the final answer:
37 1/3 or 37.3333...