Question

1) 26/45-16/30 2) 13/18-5/24 3) 1+3/8 4)2-5/6 5) 3-10/17 6) 22 11/15-22 7) 12 9/25+7 32/50 8) 5 3/20-4 7/10 9) 11 1/4+3 7/10 10) 2 +3/5

Answer 1

1) 26/45-16/30=52/90-48/90=4/90=2/45

2) 13/18-5/24=52/72-15/72=37/72

3) 1+3/8=1 3/8

4)2-5/6=1 1/6

5) 3-10/17=2 7/10

6) 22 11/15-22=11/15

7) 12 9/25+7 32/50=12 18/50+7 32/50=20

8) 5 3/20-4 7/10=5 3/20-4 14/20=9/20

9) 11 1/4+3 7/10=11 5/20+3 14/20=25 19/20

10) 2 +3/5=2 3/5

Answer 2

To solve these arithmetic expressions involving fractions and whole numbers, let's go through each one step by step:

1. 26/45 - 16/30: To subtract fractions, we need a common denominator. The least common multiple (LCM) of 45 and 30 is 90.

(26/45) - (16/30) = (26/45) - (48/90) (converted fractions to have a common denominator) = (26/45) - (48/90) = (52/90) - (48/90) (multiplied the fractions by 2/2 to make the numerators equal) = (52 - 48)/90 = 4/90 = 2/45

2. 13/18 - 5/24: To subtract fractions, we need a common denominator. The LCM of 18 and 24 is 72.

(13/18) - (5/24) = (26/36) - (15/36) (converted fractions to have a common denominator) = (26 - 15)/36 = 11/36

3. 1 + 3/8: To add a whole number and a fraction, we first convert the whole number to an improper fraction with the same denominator as the fraction.

1 + 3/8 = 8/8 + 3/8 (converted 1 to 8/8) = (8 + 3)/8 = 11/8

4. 2 - 5/6: To subtract a fraction from a whole number, we first convert the whole number to an improper fraction with the same denominator as the fraction.

2 - 5/6 = 12/6 - 5/6 (converted 2 to 12/6) = (12 - 5)/6 = 7/6

5. 3 - 10/17: To subtract a fraction from a whole number, we first convert the whole number to an improper fraction with the same denominator as the fraction.

3 - 10/17

= (3 * 17)/17 - 10/17 (converted 3 to 51/17)

= (51 - 10)/17

= 41/17

6. 22 11/15 - 22: Since 22 is a whole number, we can write it as 22/1 to make it a fraction.

22 11/15 - 22 = (22 * 15 + 11)/15 - (22 * 15)/15 (converted the mixed number to an improper fraction with the denominator 15)

= (330 + 11)/15 - 330/15

= 341/15 - 330/15

= (341 - 330)/15

= 11/15

7. 12 9/25 + 7 32/50: Similarly, let's convert the mixed numbers to improper fractions with the common denominator of 50.

12 9/25 + 7 32/50 = (12 * 25 + 9)/25 + (7 * 50 + 32)/50 = (300 + 9)/25 + (350 + 32)/50 = 309/25 + 382/50

Now, to add these fractions, we need a common denominator. The LCM of 25 and 50 is 50.

= (309 * 2)/(25 * 2) + 382/50 = 618/50 + 382/50 = (618 + 382)/50 = 1000/50 = 20

8. 5 3/20 - 4 7/10: Let's convert the mixed numbers to improper fractions with the common denominator of 20.

5 3/20 - 4 7/10 = (5 * 20 + 3)/20 - (4 * 10 + 7)/10 = (100 + 3)/20 - (40 + 7)/10 = 103/20 - 47/10

Now, let's find the common denominator, which is 20.

= (103 * 1)/(20 * 1) - (47 * 2)/(10 * 2) = 103/20 - 94/20 = (103 - 94)/20 = 9/20

9. 11 1/4 + 3 7/10: Let's convert the mixed numbers to improper fractions with the common denominator of 4.

11 1/4 + 3 7/10 = (11 * 4 + 1)/4 + (3 * 10 + 7)/10 = (44 + 1)/4 + (30 + 7)/10 = 45/4 + 37/10

Now, let's find the common denominator, which is 20.

= (45 * 5)/(4 * 5) + (37 * 2)/(10 * 2) = 225/20 + 74/20 = (225 + 74)/20 = 299/20

10. 2 + 3/5: To add a whole number and a fraction, we first convert the whole number to an improper fraction with the same denominator as the fraction.

2 + 3/5 = 10/5 + 3/5 (converted 2 to 10/5) = (10 + 3)/5 = 13/5

So, the results are:

1. 26/45 - 16/30 = 2/45
2. 13/18 - 5/24 = 11/36
3. 1 + 3/8 = 11/8
4. 2 - 5/6 = 7/6
5. 3 - 10/17 = 41/17
6. 22 11/15 - 22 = 11/15
7. 12 9/25 + 7 32/50 = 20
8. 5 3/20 - 4 7/10 = 9/20
9. 11 1/4 + 3 7/10 = 299/20
10. 2 + 3/5 = 13/5