Understand the problem: Understand the division problem. We need to divide the fraction 8/5 by the whole number 3.Convert whole number to fraction: Convert the whole number into a fraction. To divide by a whole number, we can convert it into a fraction by putting it over 1. 3 becomes 3/1.Change division to multiplication: Change the division to multiplication by taking the reciprocal of the second fraction. Instead of dividing by 3/1, we multiply by its reciprocal, which is 1/3. (8/5) ÷ (3/1) becomes (8/5) × (1/3).Multiply numerators and denominators: Multiply the numerators and denominators. Multiply the numerators: 8 × 1 = 8. Multiply the denominators: 5 × 3 = 15. The result of the multiplication is 8/15.Simplify the fraction: Simplify the fraction if necessary. The fraction 8/15 cannot be simplified further as 8 and 15 have no common factors other than 1.

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$\frac{8}{5} \div 3=$

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Math Problems

Grade 6

Divide whole numbers and unit fractions

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\frac{8}{5} \div 3=

Understand the problem: Understand the division problem. We need to divide the fraction $\frac{8}{5}$ by the whole number $3$ .
Convert whole number to fraction: Convert the whole number into a fraction. $\newline$ To divide by a whole number, we can convert it into a fraction by putting it over $1$ . $\newline$ $3$ becomes $\frac{3}{1}$ .
Change division to multiplication: Change the division to multiplication by taking the reciprocal of the second fraction. $\newline$ Instead of dividing by $\frac{3}{1}$ , we multiply by its reciprocal, which is $\frac{1}{3}$ . $\newline$ $(\frac{8}{5}) \div (\frac{3}{1})$ becomes $(\frac{8}{5}) \times (\frac{1}{3})$ .
Multiply numerators and denominators: Multiply the numerators and denominators. $\newline$ Multiply the numerators: $8 \times 1 = 8$ . $\newline$ Multiply the denominators: $5 \times 3 = 15$ . $\newline$ The result of the multiplication is $\frac{8}{15}$ .
Simplify the fraction: Simplify the fraction if necessary. $\newline$ The fraction $\frac{8}{15}$ cannot be simplified further as $8$ and $15$ have no common factors other than $1$ .