Evaluate the expression shown below and write your answer as a mixed number in simplest form: 4 7/9 times 7/10
To solve 4 7/9 times 7/10, first convert the mixed number to an improper fraction:
4 7/9 = (4 * 9 + 7)/9 = 43/9
Now, multiply the two fractions together:
43/9 * 7/10 = (43 * 7)/(9 * 10) = 301/90
Simplify the resulting fraction by dividing the numerator and denominator by their greatest common divisor, which is 1:
301/90 = 301 ÷ 1 / 90 ÷ 1 = 301/90
Since the numerator is greater than the denominator, the fraction can be simplified to a mixed number by dividing the numerator by the denominator:
301 ÷ 90 = 3 remainder 31
The mixed number in simplest form is therefore 3 31/90.