Q. Divide. Write the quotient in lowest terms.381÷132=
Convert to improper fractions: Convert the mixed numbers to improper fractions.381 can be converted to an improper fraction by multiplying the whole number part by the denominator and adding the numerator: (3×8)+1=24+1=25. So, 381 becomes 825.132 can be converted to an improper fraction by multiplying the whole number part by the denominator and adding the numerator: (1×3)+2=3+2=5. So, 132 becomes 35.
Rewrite as a multiplication problem: Rewrite the division problem as a multiplication problem by multiplying by the reciprocal of the second fraction.The division 825÷35 is equivalent to 825×53.
Multiply the numerators and denominators: Multiply the numerators and the denominators.The numerator of the resulting fraction is 25×3=75.The denominator of the resulting fraction is 8×5=40.So, the multiplication gives us 4075.
Simplify the fraction: Simplify the fraction to its lowest terms.Both the numerator and the denominator are divisible by 5.Dividing the numerator by 5 gives us 75÷5=15.Dividing the denominator by 5 gives us 40÷5=8.So, the simplified fraction is 815.
Convert back to a mixed number: Convert the improper fraction back to a mixed number if necessary.Since 815 is an improper fraction, we can convert it to a mixed number.15 divided by 8 gives us 1 with a remainder of 7.So, the mixed number is 1(87).
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