Multiply.
$\frac{5}{6} \times 18=$
Answer (2)
Rewrite 18 as a fraction: 18 = 1 18 .
Multiply the fractions: 6 5 × 1 18 = 6 × 1 5 × 18 = 6 90 .
Simplify the fraction: 6 90 = 15 .
The final answer is: 15 .
Explanation
Understanding the Problem We are asked to multiply the fraction 6 5 by the integer 18.
Rewriting as a Fraction First, we can rewrite the integer 18 as a fraction with a denominator of 1: 18 = 1 18 .
Multiplying Fractions Now, we multiply the two fractions: 6 5 × 1 18 = 6 × 1 5 × 18 = 6 90 .
Simplifying the Fraction To simplify the fraction 6 90 , we divide both the numerator and the denominator by their greatest common divisor, which is 6: 6 90 = 6 ÷ 6 90 ÷ 6 = 1 15 = 15 .
Final Answer Therefore, the result of the multiplication is 15.
Examples
Understanding fraction multiplication is essential in many real-life situations. For example, if you are baking a cake and the recipe calls for 6 5 of a cup of flour for each cake, and you want to bake 18 cakes, you would need to multiply 6 5 by 18 to determine the total amount of flour needed. This calculation tells you that you would need 15 cups of flour to bake all the cakes. Knowing how to multiply fractions allows you to scale recipes, measure ingredients accurately, and manage quantities effectively in cooking and baking.
To multiply 6 5 by 18, first rewrite 18 as a fraction 1 18 . Then, multiply the fractions to get 6 90 and simplify to get the final answer of 15.
;
