Tiffany worked 9 1/5 hours on Monday and 10 1/4 hours on Tuesday
... how many hours did she work on those two day???
9 1/5 = 9 4/20
10 1/4 = 10 5/20
9 4/20 + 10 5/20 = 19 9/20
To find the total number of hours Tiffany worked on Monday and Tuesday, we need to add the number of hours she worked on each day.
On Monday, Tiffany worked 9 1/5 hours. To add this with the hours she worked on Tuesday, we need to convert 9 1/5 to an improper fraction. By multiplying the whole number (9) by the denominator (5) and adding the numerator (1), we get the numerator of the improper fraction: 9 × 5 + 1 = 45 + 1 = 46. So 9 1/5 is equivalent to 46/5 in improper fraction form.
On Tuesday, Tiffany worked 10 1/4 hours. Similarly, we convert 10 1/4 to an improper fraction. By multiplying the whole number (10) by the denominator (4) and adding the numerator (1), we get: 10 × 4 + 1 = 40 + 1 = 41. So 10 1/4 is equivalent to 41/4 in improper fraction form.
Now we can add the two fractions together:
46/5 + 41/4
To add these fractions, we need to have a common denominator. In this case, the least common multiple (LCM) of 5 and 4 is 20. Therefore, we need to rewrite both fractions with the denominator of 20:
(46/5) × (4/4) = 184/20
(41/4) × (5/5) = 205/20
Now we can add the fractions:
184/20 + 205/20.
To add these fractions, we simply add the numerators and keep the same denominator:
184/20 + 205/20 = (184 + 205)/20 = 389/20.
Thus, Tiffany worked a total of 389/20 hours on Monday and Tuesday. To simplify this fraction, we can divide the numerator (389) by the denominator (20):
389 ÷ 20 = 19 remainder 9.
So Tiffany worked 19 hours and 9/20 of an hour on Monday and Tuesday combined.