Question

Express 0.6 + 0.7bar + 0.47(here bar is on seven) in the form p/q, p and q are integers

Answer 1

The student is asked to express the combination of three decimal values (including a repeating decimal) as a rational expression in the form p/q. We firstly convert each of the decimals to fractions, then add them together and simplify the result.

Step-by-step explanation:

The question is asking to express 0.6 + 0.7bar + 0.47(where bar is on seven) in the form p/q, where p and q are integers. Here, 0.7bar refers to the repeating decimal 0.7777...

To simplify this, convert each number to its fractional form and then add them together:

1. 0.6 = 6/10
2. 0.7bar = 0.7777... = 7/9 - this is because the bar notation indicates a repeating decimal and the fraction form of 0.7bar can be calculated using the formula for recurring fractions and can be represented as p/q
3. 0.47 = 47/100

Therefore, to express 0.6 + 0.7bar + 0.47 in p/q form, you would add these fractions together, simplify and reduce them to their simplest form.

Learn more about Decimals to Fractions