We appreciate your visit to Is it valid to compare tex frac 30 70 tex and tex frac 20 50 tex by cancelling the 0s and comparing tex frac 3. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Sure, let's explore whether it's valid to compare [tex]\(\frac{30}{70}\)[/tex] and [tex]\(\frac{20}{50}\)[/tex] by "cancelling" the zeros and comparing [tex]\(\frac{3}{7}\)[/tex] and [tex]\(\frac{2}{5}\)[/tex] instead.
Step 1: Simplify the fractions
- Start by simplifying [tex]\(\frac{30}{70}\)[/tex]:
Both 30 and 70 can be divided by 10 (the common factor of 10). So, cancel the zeros:
[tex]\[
\frac{30}{70} = \frac{3}{7}
\][/tex]
- Next, simplify [tex]\(\frac{20}{50}\)[/tex]:
Similarly, divide 20 and 50 by their common factor of 10:
[tex]\[
\frac{20}{50} = \frac{2}{5}
\][/tex]
Step 2: Compare the fractions
Now that we have simplified both fractions, let's compare the simplified versions:
- [tex]\(\frac{3}{7}\)[/tex] and [tex]\(\frac{2}{5}\)[/tex] are the results of simplifying the original fractions.
Verification of Validity
To determine if the simplification was correctly done by "cancelling" the zeros, check if the simplified fractions are equivalent to the original fractions:
- The fraction [tex]\(\frac{30}{70} = 0.42857142857142855\)[/tex] when calculated in decimal form.
- The simplified fraction [tex]\(\frac{3}{7} = 0.42857142857142855\)[/tex] in decimal form as well.
- Similarly, [tex]\(\frac{20}{50} = 0.4\)[/tex].
- And, [tex]\(\frac{2}{5} = 0.4\)[/tex].
Both simplified fractions match their respective original fractions in decimal form.
Conclusion
Cancelling the zeros to simplify the fractions [tex]\(\frac{30}{70}\)[/tex] to [tex]\(\frac{3}{7}\)[/tex] and [tex]\(\frac{20}{50}\)[/tex] to [tex]\(\frac{2}{5}\)[/tex] is valid because it does not change the values of the fractions. The simplification reflects the true relationship between the fractions, making it a correct and efficient method to compare these fractions.
Step 1: Simplify the fractions
- Start by simplifying [tex]\(\frac{30}{70}\)[/tex]:
Both 30 and 70 can be divided by 10 (the common factor of 10). So, cancel the zeros:
[tex]\[
\frac{30}{70} = \frac{3}{7}
\][/tex]
- Next, simplify [tex]\(\frac{20}{50}\)[/tex]:
Similarly, divide 20 and 50 by their common factor of 10:
[tex]\[
\frac{20}{50} = \frac{2}{5}
\][/tex]
Step 2: Compare the fractions
Now that we have simplified both fractions, let's compare the simplified versions:
- [tex]\(\frac{3}{7}\)[/tex] and [tex]\(\frac{2}{5}\)[/tex] are the results of simplifying the original fractions.
Verification of Validity
To determine if the simplification was correctly done by "cancelling" the zeros, check if the simplified fractions are equivalent to the original fractions:
- The fraction [tex]\(\frac{30}{70} = 0.42857142857142855\)[/tex] when calculated in decimal form.
- The simplified fraction [tex]\(\frac{3}{7} = 0.42857142857142855\)[/tex] in decimal form as well.
- Similarly, [tex]\(\frac{20}{50} = 0.4\)[/tex].
- And, [tex]\(\frac{2}{5} = 0.4\)[/tex].
Both simplified fractions match their respective original fractions in decimal form.
Conclusion
Cancelling the zeros to simplify the fractions [tex]\(\frac{30}{70}\)[/tex] to [tex]\(\frac{3}{7}\)[/tex] and [tex]\(\frac{20}{50}\)[/tex] to [tex]\(\frac{2}{5}\)[/tex] is valid because it does not change the values of the fractions. The simplification reflects the true relationship between the fractions, making it a correct and efficient method to compare these fractions.
Thanks for taking the time to read Is it valid to compare tex frac 30 70 tex and tex frac 20 50 tex by cancelling the 0s and comparing tex frac 3. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
