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Simplify. Express your answer as a single fraction in simplest form. \newline5y3z+10\frac{5}{y^3z} + 10

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline5y3z+10\frac{5}{y^3z} + 10
  1. Identify Like Terms: Identify the like terms in the expression.\newlineSince 1010 is not a fraction, we need to convert it into a fraction with the same denominator as 5y3z\frac{5}{y^3z} to combine them.
  2. Convert Whole Number to Fraction: Convert the whole number 1010 into a fraction with the same denominator as 5y3z\frac{5}{y^3z}. To do this, we multiply 1010 by (y3zy3z)\left(\frac{y^3z}{y^3z}\right) which is equal to 11. 10×(y3zy3z)=10y3zy3z10 \times \left(\frac{y^3z}{y^3z}\right) = \frac{10y^3z}{y^3z}
  3. Combine Fractions: Combine the two fractions.\newlineNow we have two fractions with the same denominator, so we can add them together.\newline(5y3z)+(10y3zy3z)=5+10y3zy3z(\frac{5}{y^3z}) + (\frac{10y^3z}{y^3z}) = \frac{5 + 10y^3z}{y^3z}
  4. Simplify Expression: Simplify the expression if possible.\newlineIn this case, there are no common factors in the numerator that can be canceled with the denominator, so the expression is already in its simplest form.

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