Q. Divide. Write the quotient in lowest terms.197÷54=
Write division problem as fraction: Write the division problem as a fraction.We have the division problem 91(7)÷54. First, we need to express the mixed number 1(7)/9 as an improper fraction.1(7)/9=99+97=916.Now, we can rewrite the division problem as (916)÷(54).
Convert to multiplication problem: Convert the division problem into a multiplication problem by multiplying by the reciprocal of the second fraction.To divide by a fraction, we multiply by its reciprocal. The reciprocal of 54 is 45.So, 916÷54 becomes 916⋅45.
Multiply numerators and denominators: Multiply the numerators and the denominators.Now, we multiply the numerators together and the denominators together.(916)×(45)=(9×416×5)=3680.
Simplify fraction to lowest terms: Simplify the fraction to its lowest terms.To simplify the fraction, we need to find the greatest common factor (GCF) of the numerator and the denominator and divide both by it.The GCF of 80 and 36 is 4.80÷4=20, and 36÷4=9.So, 3680 simplifies to 920.
Check for further simplification: Check if the fraction can be simplified further.The numbers 20 and 9 do not have any common factors other than 1, so the fraction is already in its simplest form.
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