Q. Divide. Write the quotient in lowest terms.5÷331=
Identify numbers involved: Identify the numbers involved in the division.We have the whole number5 and the fraction331, which is a mixed number.
Convert to improper fraction: Convert the mixed number to an improper fraction.331 can be converted to an improper fraction by multiplying the whole number part by the denominator and adding the numerator, then placing the result over the original denominator.331=(3×3+1)/3=310
Rewrite division problem: Rewrite the division problem using the improper fraction.Now the division problem is 5÷(310).
Convert to multiplication problem: Convert the division problem to a multiplication problem.To divide by a fraction, we multiply by its reciprocal.5÷(310)=5×(103)
Perform the multiplication: Perform the multiplication.Now we multiply the numerators and the denominators separately.5×3=151×10=10So, 5×(103)=1015
Simplify to lowest terms: Simplify the fraction to its lowest terms.1015 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 5.15÷5=310÷5=2So, 1015 simplified to lowest terms is 23.