Identify Numbers: Identify the numbers to be added. We have three numbers to add: 1, 3/2, and 4. We will add these numbers together to find the total sum.Convert to Common Denominator: Convert the whole numbers to fractions to have a common denominator. The number 1 can be written as 2/2, and the number 4 can be written as 8/2, so that all numbers have the same denominator.Add Fractions: Add the fractions together. Now we add the fractions: 2/2 + 3/2 + 8/2.Perform Addition: Perform the addition. Adding the numerators, we get 2 + 3 + 8 = 13, with the common denominator of 2. So, the sum is 13/2.Convert to Mixed Number: Convert the improper fraction to a mixed number (if necessary). The fraction 13/2 can be written as a mixed number. 13 divided by 2 is 6 with a remainder of 1. So, 13/2 is equal to 6 1/2.

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$1 + \frac{3}{2} + 4$

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Math Problems

Grade 7

Add and subtract rational numbers

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1 + \frac{3}{2} + 4

Identify Numbers: Identify the numbers to be added. $\newline$ We have three numbers to add: $1$ , $\frac{3}{2}$ , and $4$ . We will add these numbers together to find the total sum.
Convert to Common Denominator: Convert the whole numbers to fractions to have a common denominator. $\newline$ The number $1$ can be written as $\frac{2}{2}$ , and the number $4$ can be written as $\frac{8}{2}$ , so that all numbers have the same denominator.
Add Fractions: Add the fractions together. $\newline$ Now we add the fractions: $\frac{2}{2} + \frac{3}{2} + \frac{8}{2}$ .
Perform Addition: Perform the addition. $\newline$ Adding the numerators, we get $2 + 3 + 8 = 13$ , with the common denominator of $2$ . $\newline$ So, the sum is $\frac{13}{2}$ .
Convert to Mixed Number: Convert the improper fraction to a mixed number (if necessary). $\newline$ The fraction $\frac{13}{2}$ can be written as a mixed number. $13$ divided by $2$ is $6$ with a remainder of $1$ . So, $\frac{13}{2}$ is equal to $6\frac{1}{2}$ .