Question
Find the number that makes the ratio equivalent to \( 7: 42 \).
Ask by Love Turnbull. in the United States
Mar 06,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The number that makes the ratio equivalent to \(7:42\) is \(6\).
Solution
Below is a step‐by‐step explanation of how to find the number:
1. Write the ratio as a fraction:
\[
\frac{7}{42}
\]
2. Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is \(7\):
\[
\frac{7 \div 7}{42 \div 7} = \frac{1}{6}
\]
3. The simplified ratio is:
\[
1:6
\]
Thus, the number that makes the ratio equivalent to \(7:42\) is \(6\).
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Simplify this solution Mind Expander
To find a number that makes the ratio equivalent to \( 7:42 \), we first simplify the ratio. Dividing both parts of the ratio by 7 gives us \( 1:6 \). Therefore, any number represented in the form of \( 1:x \) with \( x = 6 \) will maintain the equivalent ratio. Thus, if we take another number as \( x = 6 \), the ratio with 1 will be equivalent as \( 1:6 \), aligned with the simplified ratio. You can also multiply both sides of \( 1:6 \) by any non-zero number to have an equivalent ratio. For instance, if you multiply by 5, you'll get \( 5:30 \), which is also equivalent to \( 7:42 \).
