What is the result of dividing 5/8 by 1/2?

What is the result of dividing 5/8 by 1/2?

• A. 11/4
• B. 3/8
• C. 1/4
• D. 3/16

Answer: (A)

To find the result of dividing \( \frac{5}{8} \) by \( \frac{1}{2} \), you need to multiply \( \frac{5}{8} \) by the reciprocal of \( \frac{1}{2} \). The reciprocal of \( \frac{1}{2} \) is \( 2/1 \) or simply \( 2 \). So, you perform the multiplication: \[ \frac{5}{8} \times 2 = \frac{5 \times 2}{8 \times 1} = \frac{10}{8} \] Next, you can simplify \( \frac{10}{8} \) by dividing the numerator and denominator by their greatest common divisor, which is 2: \[ \frac{10 \div 2}{8 \div 2} = \frac{5}{4} \] Next, you can express \( \frac{5}{4} \) as an improper fraction, which can also be written as \( 1 \frac{1}{4} \), but since the options typically do not include mixed numbers, it remains as \( \frac{5}{4} \).

To find the result of dividing ( \frac{5}{8} ) by ( \frac{1}{2} ), you need to multiply ( \frac{5}{8} ) by the reciprocal of ( \frac{1}{2} ). The reciprocal of ( \frac{1}{2} ) is ( 2/1 ) or simply ( 2 ).

So, you perform the multiplication:

[

\frac{5}{8} \times 2 = \frac{5 \times 2}{8 \times 1} = \frac{10}{8}

]

Next, you can simplify ( \frac{10}{8} ) by dividing the numerator and denominator by their greatest common divisor, which is 2:

[

\frac{10 \div 2}{8 \div 2} = \frac{5}{4}

]

Next, you can express ( \frac{5}{4} ) as an improper fraction, which can also be written as ( 1 \frac{1}{4} ), but since the options typically do not include mixed numbers, it remains as ( \frac{5}{4} ).