Annue must send two packages. One package weighs 11 1/8 lbs. and the other weighs 9 1/5 lbs. what is the total weight of the two packages?
Is it 23 1/8 lb?
You should realize this can't be right. 11 plus 9 was 20 when I went to school. 1/8 + 1/5 is less than 1/2.
Please try again.
Ok so then I think it would be 20 1/20, right,
because the fractions add is 2/40 which reduces to 1/20? therefore making it 20 1/20 lbs????
1/8 = 5/40
1/5 = 8/40
5/40 + 8/40 = 13/40
Your packages weigh 20 13/40 pounds
To find the total weight of the two packages, you need to add the weight of the first package to the weight of the second package.
The weight of the first package is given as 11 1/8 lbs. To add this weight, you can convert the mixed number (11 1/8) to an improper fraction. To do this, you multiply the whole number (11) by the denominator (8) and then add the numerator (1). This gives you a numerator of 89.
So, the weight of the first package as an improper fraction is 89/8 lbs.
Similarly, the weight of the second package is given as 9 1/5 lbs. Converting this to an improper fraction, you multiply the whole number (9) by the denominator (5) and then add the numerator (1). This gives you a numerator of 46.
So, the weight of the second package as an improper fraction is 46/5 lbs.
Now, to find the total weight, you add the two improper fractions:
89/8 lbs + 46/5 lbs
To add fractions, you need to have the same denominator. In this case, the lowest common multiple (LCM) of 8 and 5 is 40.
To make both fractions have a denominator of 40, you need to multiply the numerator and denominator of the first fraction by 5, and the numerator and denominator of the second fraction by 8.
(89/8) * (5/5) = 445/40 lbs
(46/5) * (8/8) = 368/40 lbs
Now, you can add the fractions:
(445/40 lbs) + (368/40 lbs) = 813/40 lbs
To simplify this fraction, you can divide the numerator (813) by the denominator (40).
813 ÷ 40 = 20 remainder 13
So, the total weight of the two packages is 20 13/40 lbs or, if you prefer, you can rewrite it as a mixed number: 20 1/40 lbs.
Therefore, the total weight of the two packages is not 23 1/8 lbs, but rather 20 1/40 lbs.