Convert to Improper Fractions: Convert mixed numbers to improper fractions.12(21) can be converted to an improper fraction by multiplying the whole number12 by the denominator 2 and adding the numerator 1, then placing the result over the original denominator.12(21)=(12×2+1)/2=(24+1)/2=25/2.Similarly, 4(107) can be converted to an improper fraction by multiplying the whole number 4 by the denominator 10 and adding the numerator 7, then placing the result over the original denominator.4(107)=(4×10+7)/10=(40+7)/10=47/10.
Subtract Fractions: Subtract the two improper fractions.To subtract fractions, they must have a common denominator. The least common denominator (LCD) for 2 and 10 is 10. We need to convert 225 to a fraction with a denominator of 10.225=(2×525×5)=10125.Now we can subtract 1047 from 10125.10125−1047=(10125−47)=1078.
Simplify Resulting Fraction: Simplify the resulting fraction. 1078 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. 1078=(10/2)(78/2)=539.
Convert Back to Mixed Number: Convert the improper fraction back to a mixed number if necessary.Since 539 is an improper fraction, we can convert it back to a mixed number. 39 divided by 5 is 7 with a remainder of 4.539=7(54).
More problems from Powers with decimal and fractional bases