Answer :
To find the equivalent result of the expression [tex]\(3 \frac{2}{5} - 1 \frac{4}{6}\)[/tex], let's break down the steps:
1. Convert Mixed Numbers to Improper Fractions:
- First, convert [tex]\(3 \frac{2}{5}\)[/tex] to an improper fraction. The whole number is 3 and the fraction is [tex]\(\frac{2}{5}\)[/tex].
- Compute: [tex]\(3 \frac{2}{5} = 3 + \frac{2}{5}\)[/tex].
- Next, convert [tex]\(1 \frac{4}{6}\)[/tex]. The whole number is 1 and the fraction is [tex]\(\frac{4}{6}\)[/tex].
- Compute: [tex]\(1 \frac{4}{6} = 1 + \frac{4}{6}\)[/tex].
2. Perform the Subtraction:
- Subtracting the two values, first convert the fractions to have a common denominator if necessary. Here, we'll calculate each step as decimals to simplify.
- Subtract the second value from the first one:
[tex]\[
(3 + \frac{2}{5}) - (1 + \frac{4}{6})
\][/tex]
3. Convert the Result to a Mixed Number:
- Assume the result was calculated already and it is [tex]\(1 \frac{22}{30}\)[/tex]. This indicates that the subtraction yields a whole number of 1 and a fraction part that converts to [tex]\(\frac{22}{30}\)[/tex].
4. List the Equivalent Cards:
- Among the provided options, look for [tex]\(1 \frac{22}{30}\)[/tex].
Thus, the final answer for which card is equivalent to the given expression is:
- [tex]\(1 \frac{22}{30}\)[/tex]
1. Convert Mixed Numbers to Improper Fractions:
- First, convert [tex]\(3 \frac{2}{5}\)[/tex] to an improper fraction. The whole number is 3 and the fraction is [tex]\(\frac{2}{5}\)[/tex].
- Compute: [tex]\(3 \frac{2}{5} = 3 + \frac{2}{5}\)[/tex].
- Next, convert [tex]\(1 \frac{4}{6}\)[/tex]. The whole number is 1 and the fraction is [tex]\(\frac{4}{6}\)[/tex].
- Compute: [tex]\(1 \frac{4}{6} = 1 + \frac{4}{6}\)[/tex].
2. Perform the Subtraction:
- Subtracting the two values, first convert the fractions to have a common denominator if necessary. Here, we'll calculate each step as decimals to simplify.
- Subtract the second value from the first one:
[tex]\[
(3 + \frac{2}{5}) - (1 + \frac{4}{6})
\][/tex]
3. Convert the Result to a Mixed Number:
- Assume the result was calculated already and it is [tex]\(1 \frac{22}{30}\)[/tex]. This indicates that the subtraction yields a whole number of 1 and a fraction part that converts to [tex]\(\frac{22}{30}\)[/tex].
4. List the Equivalent Cards:
- Among the provided options, look for [tex]\(1 \frac{22}{30}\)[/tex].
Thus, the final answer for which card is equivalent to the given expression is:
- [tex]\(1 \frac{22}{30}\)[/tex]
