Evaluate 4.51/4+2.51/4+7*1/4

$4.5 \cdot \frac{1}{4} + 2.5 \cdot \frac{1}{4} + 7 \cdot \frac{1}{4}$

Step 1

Simplify each term.

Combine $4.5$ and $\frac{1}{4}$ .

$\frac{4.5}{4} + 2.5 \cdot \frac{1}{4} + 7 \cdot \frac{1}{4}$

Divide $4.5$ by $4$ .

$1.125 + 2.5 \cdot \frac{1}{4} + 7 \cdot \frac{1}{4}$

Combine $2.5$ and $\frac{1}{4}$ .

$1.125 + \frac{2.5}{4} + 7 \cdot \frac{1}{4}$

Divide $2.5$ by $4$ .

$1.125 + 0.625 + 7 \cdot \frac{1}{4}$

Combine $7$ and $\frac{1}{4}$ .

$1.125 + 0.625 + \frac{7}{4}$

Step 2

Find the common denominator.

Write $1.125$ as a fraction with denominator $1$ .

$\frac{1.125}{1} + 0.625 + \frac{7}{4}$

Multiply $\frac{1.125}{1}$ by $\frac{4}{4}$ .

$\frac{1.125}{1} \cdot \frac{4}{4} + 0.625 + \frac{7}{4}$

Multiply $\frac{1.125}{1}$ by $\frac{4}{4}$ .

$\frac{1.125 \cdot 4}{4} + 0.625 + \frac{7}{4}$

Write $0.625$ as a fraction with denominator $1$ .

$\frac{1.125 \cdot 4}{4} + \frac{0.625}{1} + \frac{7}{4}$

Multiply $\frac{0.625}{1}$ by $\frac{4}{4}$ .

$\frac{1.125 \cdot 4}{4} + \frac{0.625}{1} \cdot \frac{4}{4} + \frac{7}{4}$

Multiply $\frac{0.625}{1}$ by $\frac{4}{4}$ .

$\frac{1.125 \cdot 4}{4} + \frac{0.625 \cdot 4}{4} + \frac{7}{4}$

Step 3

Combine the numerators over the common denominator.

$\frac{1.125 \cdot 4 + 0.625 \cdot 4 + 7}{4}$

Step 4

Simplify each term.

Multiply $1.125$ by $4$ .

$\frac{4.5 + 0.625 \cdot 4 + 7}{4}$

Multiply $0.625$ by $4$ .

$\frac{4.5 + 2.5 + 7}{4}$

Step 5

Reduce the expression by cancelling the common factors.

Add $4.5$ and $2.5$ .

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

Add $7$ and $7$ .

$\frac{14}{4}$

Cancel the common factor of $14$ and $4$ .

Factor $2$ out of $14$ .

$\frac{2 (7)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$\frac{2 \cdot 7}{2 \cdot 2}$

Cancel the common factor.

$\frac{2 \cdot 7}{2 \cdot 2}$

Rewrite the expression.

$\frac{7}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{2}$

Decimal Form:

$3.5$

Mixed Number Form:

$3 \frac{1}{2}$

Evaluate 4.5*1/4+2.5*1/4+7*1/4

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Evaluate 4.51/4+2.51/4+7*1/4