Question

Express the fraction 5/9/1/3 as a decimal. Show your work.

Answer 1

To convert 5/9 divided by 1/3 to a decimal, multiply 5/9 by the reciprocal of 1/3, which is 3/1, to get 15/9, and then divide 15 by 9 to get approximately 1.67.

Step-by-step explanation:

To express the fraction 5/9 divided by 1/3 as a decimal, you need to perform a division of fractions. Dividing by a fraction is the same as multiplying by its reciprocal. Thus, you multiply 5/9 by 3/1 (the reciprocal of 1/3).

Here is the step-by-step calculation:

1. Multiply the numerators: 5 × 3 = 15.
2. Multiply the denominators: 9 × 1 = 9.
3. Express the resulting fraction 15/9 as a decimal by dividing the numerator by the denominator: 15 ÷ 9 ≈ 1.666.... The decimal repeats indefinitely, so you can round it to an appropriate number of decimal places, if needed.

Therefore, the fraction 5/9 divided by 1/3 expressed as a decimal is approximately 1.67, depending on how many decimal places you round to.

Answer 2

To express the fraction 5/9 ÷ 1/3 as a decimal, convert the division of fractions into multiplication. Multiply the numerators and denominators, then divide the numerator by the denominator. The result is approximately 1.6667.

Step-by-step explanation:

To express the fraction 5/9 ÷ 1/3 as a decimal, we can convert the division of fractions into multiplication. When we divide by a fraction, we can multiply by its reciprocal. So, we have 5/9 ÷ 1/3 = 5/9 × 3/1 = (5 × 3) / (9 × 1) = 15/9.

Now, to convert the fraction 15/9 into a decimal, we divide the numerator (15) by the denominator (9). 15 ÷ 9 = 1.6667 (rounded to four decimal places).