Algebra Examples

$M = \frac{15^{2} \cdot 25 \cdot 49}{35^{2} \cdot 45^{2}}$

Step 1

Multiply $49$ by $25$ .

$M = \frac{15^{2} \cdot 1225}{35^{2} \cdot 45^{2}}$

Step 2

Simplify the denominator.

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Step 2.1

Raise $35$ to the power of $2$ .

$M = \frac{15^{2} \cdot 1225}{1225 \cdot 45^{2}}$

Step 2.2

Raise $45$ to the power of $2$ .

$M = \frac{15^{2} \cdot 1225}{1225 \cdot 2025}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Raise $15$ to the power of $2$ .

$M = \frac{225 \cdot 1225}{1225 \cdot 2025}$

Step 3.2

Multiply.

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Step 3.2.1

Multiply $1225$ by $2025$ .

$M = \frac{225 \cdot 1225}{2480625}$

Step 3.2.2

Multiply $225$ by $1225$ .

$M = \frac{275625}{2480625}$

Step 3.3

Cancel the common factor of $275625$ and $2480625$ .

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Step 3.3.1

Factor $275625$ out of $275625$ .

$M = \frac{275625 (1)}{2480625}$

Step 3.3.2

Cancel the common factors.

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Step 3.3.2.1

Factor $275625$ out of $2480625$ .

$M = \frac{275625 \cdot 1}{275625 \cdot 9}$

Step 3.3.2.2

Cancel the common factor.

$M = \frac{275625 \cdot 1}{275625 \cdot 9}$

Step 3.3.2.3

Rewrite the expression.

$M = \frac{1}{9}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$M = \frac{1}{9}$

Decimal Form:

$M = 0.\overline{1}$