Basic Math Examples

$y \cdot 0.106 \cdot \frac{45}{360} = 640$

Step 1

Simplify $y \cdot 0.106 \cdot \frac{45}{360}$ .

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Step 1.1

Move $0.106$ to the left of $y$ .

$0.106 \cdot y \cdot \frac{45}{360} = 640$

Step 1.2

Cancel the common factor of $45$ and $360$ .

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Step 1.2.1

Factor $45$ out of $45$ .

$0.106 y \cdot \frac{45 (1)}{360} = 640$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $45$ out of $360$ .

$0.106 y \cdot \frac{45 \cdot 1}{45 \cdot 8} = 640$

Step 1.2.2.2

Cancel the common factor.

$0.106 y \cdot \frac{45 \cdot 1}{45 \cdot 8} = 640$

Step 1.2.2.3

Rewrite the expression.

$0.106 y \cdot \frac{1}{8} = 640$

Step 1.3

Multiply $0.106 y \frac{1}{8}$ .

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Step 1.3.1

Combine $0.106$ and $\frac{1}{8}$ .

$y \frac{0.106}{8} = 640$

Step 1.3.2

Combine $y$ and $\frac{0.106}{8}$ .

$\frac{y \cdot 0.106}{8} = 640$

Step 1.4

Move $0.106$ to the left of $y$ .

$\frac{0.106 \cdot y}{8} = 640$

Step 1.5

Factor $0.106$ out of $0.106 \cdot y$ .

$\frac{0.106 (y)}{8} = 640$

Step 1.6

Factor $8$ out of $8$ .

$\frac{0.106 (y)}{8 (1)} = 640$

Step 1.7

Separate fractions.

$\frac{0.106}{8} \cdot \frac{y}{1} = 640$

Step 1.8

Divide $0.106$ by $8$ .

$0.01325 \frac{y}{1} = 640$

Step 1.9

Divide $y$ by $1$ .

$0.01325 y = 640$

Step 2

Divide each term in $0.01325 y = 640$ by $0.01325$ and simplify.

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Step 2.1

Divide each term in $0.01325 y = 640$ by $0.01325$ .

$\frac{0.01325 y}{0.01325} = \frac{640}{0.01325}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $0.01325$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{0.01325 y}{0.01325} = \frac{640}{0.01325}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{640}{0.01325}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $640$ by $0.01325$ .

$y = 48301.88679245$