Question

1) 3 29/40 +11/20 + 2 9/20; 2) 1 59/60 + 2 1/30 - 2 8/15; 3) 10 1/2 + 5 1/4 - 1 1/8 4) 4 7/9 - 1 2/3 + 1/6

Answer 1

3 29/40 + 11/20 + 2 9/20=3 29/40 + 22/40 + 2 18/40=6 29/40

1 59/60 + 2 1/30 - 2 8/15=1 59/60 + 2 2/60 - 2 32/60=1 29/60

10 1/2 + 5 1/4 - 1 1/8=10 4/8 + 5 2/8 - 1 1/8=14 5/8

4 7/9 - 1 2/3 + 1/6=4 14/18 - 1 12/18 + 3/18=3 5/18

Answer 2

1)   1   329/40 + 11/20 = 329/40 + 22/40 = 351/40
2  351/40 + 29/20= 351/40 + 58/40= 409/40
2) 1  159/60 + 21/30= 159/60 + 42/60= 201/60
 2   201/60 - 28/15 = 201/60 - 122/60= 79/60
 

Answer 3

Let's solve these mixed number addition and subtraction problems step by step:

1. $3 \frac{29}{40} + \frac{11}{20} + 2 \frac{9}{20}$

To add mixed numbers, you first add the whole numbers, then add the fractions separately and simplify if needed.

Whole numbers: $3 + 2 = 5$

Now, let's add the fractions: $\frac{29}{40} + \frac{11}{20} + \frac{9}{20}$

To add fractions with different denominators, find a common denominator. In this case, the common denominator is 40. So:

$\frac{29}{40} + \frac{11}{20} + \frac{9}{20} = \frac{29}{40} + 2\left(\frac{11}{20}\right) = \frac{29}{40} + \frac{22}{20} + \frac{9}{20}$

Now, the denominators are the same, so we can add the numerators:

$\frac{29}{40} + \frac{22}{20} + \frac{9}{20} = \frac{29}{40} + \frac{22 + 9}{20} = \frac{29}{40} + \frac{31}{20}$

Now, let's add these two fractions:

$\frac{29}{40} + \frac{31}{20}$

To add these fractions, find a common denominator, which is 40:

$\frac{29}{40} + \frac{31}{20} = \frac{29}{40} + 2\left(\frac{31}{40}\right) = \frac{29}{40} + \frac{62}{40}$

Now, the denominators are the same, so we can add the numerators:

$\frac{29}{40} + \frac{62}{40} = \frac{29 + 62}{40} = \frac{91}{40}$

So, the result is:

$5 \frac{91}{40}$

2. $1 \frac{59}{60} + 2 \frac{1}{30} - 2 \frac{8}{15}$

First, let's add the whole numbers and then the fractions:

Whole numbers: $1 + 2 - 2 = 1$

Now, let's add the fractions:

$\frac{59}{60} + \frac{1}{30} - \frac{8}{15}$

To add these fractions, find a common denominator, which is 60:

$\frac{59}{60} + 2\left(\frac{1}{30}\right) - 4\left(\frac{8}{15}\right) = \frac{59}{60} + \frac{2}{60} - \frac{32}{60}$

Now, the denominators are the same, so we can add the numerators:

$\frac{59}{60} + \frac{2}{60} - \frac{32}{60} = \frac{59 + 2 - 32}{60} = \frac{29}{60}$