Describe two general methods to determine which of two fractions is greater. Use 23 and 45 to illustrate the methods.

Step 1 We will discus two methods namely "Same Denominaor Method" and "Same Numerator Method". In same "Same Denominator Method", the fraction having larget numerator is greater. While is "Same Numerator Method", the fraction having smaller deniminator is larger. Step 2 Using Same Denominator Method 23 2×53×5 1015 45 4×35×3 1215 ⇒1015&lt;1215 Hence, 45 is greater than 23. Using Same Numerator Method. 23 2×23×2 46 45 45 45 ⇒46&lt;45 Hence, 45 is greater than 23.

Question: "Describe two general methods to determine which of..."

Maaghu

Answered question

2021-11-21

Describe two general methods to determine which of two fractions is greater. Use

\frac{2}{3} and \frac{4}{5}

to illustrate the methods.

Answer & Explanation

Volosoyx

Beginner2021-11-22Added 10 answers

Step 1
We will discus two methods namely "Same Denominaor Method" and "Same Numerator Method".
In same "Same Denominator Method", the fraction having larget numerator is greater.
While is "Same Numerator Method", the fraction having smaller deniminator is larger.
Step 2
Using Same Denominator Method
$\frac{2}{3}$
$\frac{2 \times 5}{3 \times 5}$
$\frac{10}{15}$
$\frac{4}{5}$
$\frac{4 \times 3}{5 \times 3}$
$\frac{12}{15}$
$\Rightarrow \frac{10}{15} < \frac{12}{15}$
Hence, $\frac{4}{5}$ is greater than $\frac{2}{3}$ .
Using Same Numerator Method.
$\frac{2}{3}$
$\frac{2 \times 2}{3 \times 2}$
$\frac{4}{6}$
$\frac{4}{5}$
$\frac{4}{5}$
$\frac{4}{5}$
$\Rightarrow \frac{4}{6} < \frac{4}{5}$
Hence, $\frac{4}{5}$ is greater than $\frac{2}{3}$ .

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