Understand the division problem: Understand the division problem. We need to divide the fraction 5/4 by the number 10.Convert whole number to fraction: Convert the whole number into a fraction. To divide by a whole number, we can convert the whole number into a fraction by putting it over 1. 10 becomes 10/1.Change division to multiplication: Change the division into multiplication by the reciprocal. Instead of dividing by 10/1, we multiply by the reciprocal of 10/1, which is 1/10. (5/4) ÷ (10/1) becomes (5/4) × (1/10).Multiply numerators and denominators: Multiply the numerators and denominators. Multiply the numerators: 5 × 1 = 5. Multiply the denominators: 4 × 10 = 40. So, (5/4) × (1/10) = 5/40.Simplify the fraction: Simplify the fraction if possible. 5 and 40 have a common factor of 5. Divide both the numerator and the denominator by 5. 5 ÷ 5 = 1 and 40 ÷ 5 = 8. So, 5/40 simplifies to 1/8.

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$\frac{5}{4} \div 10=$

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Math Problems

Grade 6

Divide whole numbers and unit fractions

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\frac{5}{4} \div 10=

Understand the division problem: Understand the division problem. $\newline$ We need to divide the fraction $\frac{5}{4}$ by the number $10$ .
Convert whole number to fraction: Convert the whole number into a fraction. $\newline$ To divide by a whole number, we can convert the whole number into a fraction by putting it over $1$ . $\newline$ $10$ becomes $\frac{10}{1}$ .
Change division to multiplication: Change the division into multiplication by the reciprocal. $\newline$ Instead of dividing by $\frac{10}{1}$ , we multiply by the reciprocal of $\frac{10}{1}$ , which is $\frac{1}{10}$ . $\newline$ $(\frac{5}{4}) \div (\frac{10}{1})$ becomes $(\frac{5}{4}) \times (\frac{1}{10})$ .
Multiply numerators and denominators: Multiply the numerators and denominators. $\newline$ Multiply the numerators: $5 \times 1 = 5$ . $\newline$ Multiply the denominators: $4 \times 10 = 40$ . $\newline$ So, $(\frac{5}{4}) \times (\frac{1}{10}) = \frac{5}{40}$ .
Simplify the fraction: Simplify the fraction if possible. $\newline$ $5$ and $40$ have a common factor of $5$ . $\newline$ Divide both the numerator and the denominator by $5$ . $\newline$ $5 \div 5 = 1$ and $40 \div 5 = 8$ . $\newline$ So, $\frac{5}{40}$ simplifies to $\frac{1}{8}$ .