Q. Divide. Write the quotient in lowest terms.8÷154=
Identify numbers: Identify the numbers involved in the division.We have the whole number8 and the mixed number 1(54). We need to divide 8 by 1(54).
Convert to improper fraction: Convert the mixed number to an improper fraction. 1(54) can be converted to an improper fraction by multiplying the whole number part by the denominator of the fraction part and then adding the numerator of the fraction part. 1(54)=(1×5)+4=5+4=59
Rewrite using improper fraction: Rewrite the division problem using the improper fraction.Now the division problem is 8÷59.
Convert to multiplication: Convert the division problem to a multiplication problem by using the reciprocal of the divisor.To divide by a fraction, we multiply by its reciprocal. The reciprocal of 59 is 95.So, 8÷59 becomes 8×95.
Perform multiplication: Perform the multiplication.Now we multiply the whole number by the fraction.8×95=(8×5)/9=940
Simplify fraction: Simplify the fraction, if possible.The fraction 940 is already in its simplest form because 40 and 9 have no common factors other than 1.