Question

how can i compare \\(\frac{7}{10}\\) and \\(\frac{4}{5}\\)? complete the sentence. to compare \\(\frac{7}{10}\\) and \\(\frac{4}{5}\\), i can write a fraction equivalent to \\(\frac{4}{5}\\) so that the denominator is also ? (options: 4, 7, 10)

Explanation:

Step1: Find common denominator

To compare \(\frac{7}{10}\) and \(\frac{4}{5}\), we need a common denominator. The denominator of \(\frac{7}{10}\) is 10, so we convert \(\frac{4}{5}\) to a fraction with denominator 10. Multiply numerator and denominator of \(\frac{4}{5}\) by 2: \(\frac{4\times2}{5\times2}=\frac{8}{10}\).

Step2: Compare numerators

Now we have \(\frac{7}{10}\) and \(\frac{8}{10}\). Since \(7 < 8\), \(\frac{7}{10}<\frac{8}{10}\) (which is \(\frac{4}{5}\)). But for the equivalent fraction of \(\frac{4}{5}\) with denominator 10, we see the denominator we need is 10 (from the dropdown, the option is 10).

Answer:

10