Math

QuestionSimplify the expression 110xy25xz\frac{110 x y}{25 x z}.

Studdy Solution

STEP 1

Assumptions1. The expression is 110xy25xz\frac{110 x y}{25 x z} . We need to simplify this expression

STEP 2

We can simplify the expression by first factoring out the common factors in the numerator and the denominator.
110xy25xz=10×11×x×y5×5×x×z\frac{110 x y}{25 x z} = \frac{10 \times11 \times x \times y}{5 \times5 \times x \times z}

STEP 3

Now, cancel out the common factors in the numerator and the denominator.
10×11×x×y5×5×x×z=2×11×y5×z\frac{10 \times11 \times x \times y}{5 \times5 \times x \times z} = \frac{2 \times11 \times y}{5 \times z}

STEP 4

Finally, simplify the expression to get the answer.
2×11×y×z=22yz\frac{2 \times11 \times y}{ \times z} = \frac{22 y}{ z}So, the expression 110xy25xz\frac{110 x y}{25 x z} in simplest form is 22yz\frac{22 y}{ z}.

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