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Answer :
To compare the two ratios [tex]\(4:5\)[/tex] and [tex]\(19:30\)[/tex], we need to determine which one is larger. Here's how you can do that step-by-step:
1. Convert the Ratios to Fractions:
The ratio [tex]\(4:5\)[/tex] can be written as the fraction [tex]\(\frac{4}{5}\)[/tex].
The ratio [tex]\(19:30\)[/tex] can be written as the fraction [tex]\(\frac{19}{30}\)[/tex].
2. Find a Common Denominator:
We need to compare these fractions by finding a common denominator. In this case, a common denominator for 5 and 30 is 30.
3. Convert the First Fraction:
To convert [tex]\(\frac{4}{5}\)[/tex] to a fraction with a denominator of 30, we multiply both the numerator and the denominator by 6:
[tex]\[
\frac{4}{5} = \frac{4 \times 6}{5 \times 6} = \frac{24}{30}
\][/tex]
4. Compare the Fractions:
Now, we compare [tex]\(\frac{24}{30}\)[/tex] with [tex]\(\frac{19}{30}\)[/tex].
5. Interpret the Results:
Since [tex]\(\frac{24}{30}\)[/tex] is greater than [tex]\(\frac{19}{30}\)[/tex], it means that the ratio [tex]\(4:5\)[/tex] is greater than the ratio [tex]\(19:30\)[/tex].
Therefore, the ratio [tex]\(4:5\)[/tex] is greater than [tex]\(19:30\)[/tex].
1. Convert the Ratios to Fractions:
The ratio [tex]\(4:5\)[/tex] can be written as the fraction [tex]\(\frac{4}{5}\)[/tex].
The ratio [tex]\(19:30\)[/tex] can be written as the fraction [tex]\(\frac{19}{30}\)[/tex].
2. Find a Common Denominator:
We need to compare these fractions by finding a common denominator. In this case, a common denominator for 5 and 30 is 30.
3. Convert the First Fraction:
To convert [tex]\(\frac{4}{5}\)[/tex] to a fraction with a denominator of 30, we multiply both the numerator and the denominator by 6:
[tex]\[
\frac{4}{5} = \frac{4 \times 6}{5 \times 6} = \frac{24}{30}
\][/tex]
4. Compare the Fractions:
Now, we compare [tex]\(\frac{24}{30}\)[/tex] with [tex]\(\frac{19}{30}\)[/tex].
5. Interpret the Results:
Since [tex]\(\frac{24}{30}\)[/tex] is greater than [tex]\(\frac{19}{30}\)[/tex], it means that the ratio [tex]\(4:5\)[/tex] is greater than the ratio [tex]\(19:30\)[/tex].
Therefore, the ratio [tex]\(4:5\)[/tex] is greater than [tex]\(19:30\)[/tex].
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