Question

(3 1/4+2 1/6):2 3/5+11 3/4:47+31 1/2:7/12

Answer 1

1) 3 1/4+2 1/6=13/4+13/6=39/12+26/12=65/12
2) 65/12:2 3/5=65/12*5/13=25/12=
2 1/12
3) 2 1/12+11=13 1/12

4) 11 3/4:47=47/4*1/47=1/4
5) 2 1/12+1/4=25/12+1/4=25/12+3/12=28/12=2 1/3
6) 31 1/2:7/12=63/2*12/7=54
7) 2 1/3+54=56 1/3

Answer 2

Let's solve the expression step by step:

1. 3 1/4 + 2 1/6: To add these mixed numbers, first convert the fractions to a common denominator. The common denominator for 4 and 6 is 12.

3 1/4 = (3 * 4 + 1) / 4 = 13/4 2 1/6 = (2 * 6 + 1) / 6 = 13/6

Now, add the two fractions:

(13/4) + (13/6) = (39/12) + (26/12) = (39 + 26) / 12 = 65/12

2. Divide by 2 3/5: To divide a fraction by a mixed number, first convert the mixed number to an improper fraction.

2 3/5 = (2 * 5 + 3) / 5 = 13/5

Now, divide:

(65/12) ÷ (13/5) = (65/12) * (5/13) = (65 * 5) / (12 * 13) = 325 / 156

3. 11 3/4 + 47: To add a mixed number and a whole number, simply add the whole number part.

11 3/4 = 11 + 3/4 = 44/4 + 3/4 = 47/4

Now, add:

47 + (47/4) = (47 * 4 + 47) / 4 = (188 + 47) / 4 = 235 / 4

4. 31 1/2 ÷ 7/12: To divide a mixed number by a fraction, first convert the mixed number to an improper fraction.

31 1/2 = (31 * 2 + 1) / 2 = 63/2

Now, divide:

(63/2) ÷ (7/12) = (63/2) * (12/7) = (63 * 12) / (2 * 7) = 756 / 14 = 54

Now, let's add the results together:

(325/156) + (235/4) + 54

To add these fractions, we need a common denominator. The least common multiple (LCM) of 156 and 4 is 156.

Convert 235/4 to an equivalent fraction with a denominator of 156:

(235/4) * (39/39) = (235 * 39) / (4 * 39) = 9195 / 156

Now, add all the fractions:

(325/156) + (9195/156) + (54/1) = (325 + 9195 + 8424) / 156 = 17944 / 156

Finally, simplify the fraction:

17944 / 156 = 229 / 2

So the final result is 229/2, which is equal to 114 1/2.