Multiply 42*8 9/35

$42 \cdot 8 \frac{9}{35}$

A mixed number is an addition of its whole and fractional parts.

$42 \cdot (8 + \frac{9}{35})$

To write $8$ as a fraction with a common denominator, multiply by $\frac{35}{35}$ .

$42 \cdot (8 \cdot \frac{35}{35} + \frac{9}{35})$

Combine $8$ and $\frac{35}{35}$ .

$42 \cdot (\frac{8 \cdot 35}{35} + \frac{9}{35})$

Combine the numerators over the common denominator.

$42 \cdot \frac{8 \cdot 35 + 9}{35}$

Simplify the numerator.

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Multiply $8$ by $35$ .

$42 \cdot \frac{280 + 9}{35}$

Add $280$ and $9$ .

$42 \cdot \frac{289}{35}$

Cancel the common factor of $7$ .

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Factor $7$ out of $42$ .

$7 (6) \cdot \frac{289}{35}$

Factor $7$ out of $35$ .

$7 \cdot 6 \cdot \frac{289}{7 \cdot 5}$

Cancel the common factor.

$7 \cdot 6 \cdot \frac{289}{7 \cdot 5}$

Rewrite the expression.

$6 \cdot \frac{289}{5}$

Combine $6$ and $\frac{289}{5}$ .

$\frac{6 \cdot 289}{5}$

Multiply $6$ by $289$ .

$\frac{1734}{5}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1734}{5}$

Decimal Form:

$346.8$

Mixed Number Form:

$346 \frac{4}{5}$

Multiply 42*8 9/35

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