Solve (2.)/(2)5+(3.5)/((2)/()) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{ 2. }{ 2 } 5+ \frac{ 3.5 }{ \frac{ 2 }{ } }$$

Evaluate

$6.75$

Solution Steps

Divide $2$ by $2$ to get $1$.

$$1\times 5+\frac{3.5}{\frac{2}{1}}$$

Multiply $1$ and $5$ to get $5$.

$$5+\frac{3.5}{\frac{2}{1}}$$

Divide $3.5$ by $\frac{2}{1}$ by multiplying $3.5$ by the reciprocal of $\frac{2}{1}$.

$$5+\frac{3.5}{2}$$

Expand $\frac{3.5}{2}$ by multiplying both numerator and the denominator by $10$.

$$5+\frac{35}{20}$$

Reduce the fraction $\frac{35}{20}$ to lowest terms by extracting and canceling out $5$.

$$5+\frac{7}{4}$$

Convert $5$ to fraction $\frac{20}{4}$.

$$\frac{20}{4}+\frac{7}{4}$$

Since $\frac{20}{4}$ and $\frac{7}{4}$ have the same denominator, add them by adding their numerators.

$$\frac{20+7}{4}$$

Add $20$ and $7$ to get $27$.

$$\frac{27}{4}$$

Factor

$\frac{3 ^ {3}}{2 ^ {2}} = 6\frac{3}{4} = 6.75$