Reduce to simplest form. -(3)/(4)+(7)/(2)=

Identify common denominator: Identify a common denominator for the fractions -3/4 and 7/2. The common denominator for 4 and 2 is 4.Convert fraction to common denominator: Convert the fraction 7/2 to have the common denominator of 4. To do this, multiply both the numerator and the denominator by 2. (7/2) * (2/2) = 14/4Add fractions with common denominator: Now that both fractions have the same denominator, add them together. -3/4 + 14/4Combine numerators: Combine the numerators and keep the common denominator. (-3 + 14)/4 = 11/4Check for simplification: Check if the fraction 11/4 can be simplified further. Since 11 is a prime number and 4 is not a multiple of 11, the fraction is already in its simplest form.

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Math Problems

Grade 6

Multiply using the distributive property

Full solution

Q. Reduce to simplest form.

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-\frac{3}{4}+\frac{7}{2}=

Identify common denominator: Identify a common denominator for the fractions $-\frac{3}{4}$ and $\frac{7}{2}$ . The common denominator for $4$ and $2$ is $4$ .
Convert fraction to common denominator: Convert the fraction $\frac{7}{2}$ to have the common denominator of $4$ . To do this, multiply both the numerator and the denominator by $2$ . $\left(\frac{7}{2}\right) \times \left(\frac{2}{2}\right) = \frac{14}{4}$
Add fractions with common denominator: Now that both fractions have the same denominator, add them together. $-\frac{3}{4} + \frac{14}{4}$
Combine numerators: Combine the numerators and keep the common denominator. $\newline$ $(-3 + 14)/4 = 11/4$
Check for simplification: Check if the fraction $\frac{11}{4}$ can be simplified further. $\newline$ Since $11$ is a prime number and $4$ is not a multiple of $11$ , the fraction is already in its simplest form.