B.Solve
1.What is five more than four and one-fifth?
2.Subtract from 25 1/2 to the sum of 4 1/3 and 2 2/5.What is the Result.
3.Increase the sum of 4 3/14 and 5 2/7 by 4 1/2.What is the Result?
4.Decrease 12 5/8 by 3 2/5.What is the Result?
5.What is –10 4/5 minus 4 3/7?
what is 5 + 4? Then toss in the pesky 1/5
4 1/3 + 2 2/5 = 4 5/15 + 2 6/15 = 8 13/15
Now 8 13/15 + 25 1/2 = 8 26/30 + 25 15/30 = 33 41/30 = 34 11/30
Now you try the rest. Show your attempts if you get stuck.
1. To find five more than four and one-fifth, you need to add 5 to the given number.
First, convert four and one-fifth into improper fraction form.
4 + 1/5 = (4 x 5 + 1) / 5 = (20 + 1) / 5 = 21/5
Now, add 5 to 21/5:
21/5 + 5 = (21 + 5 x 5) / 5 = (21 + 25) / 5 = 46/5
Therefore, five more than four and one-fifth is equal to 46/5.
2. To subtract from 25 1/2 the sum of 4 1/3 and 2 2/5, you need to find the sum first, and then subtract it from 25 1/2.
First, convert all the given fractions into improper fractions:
4 1/3 = (4 x 3 + 1) / 3 = 13/3
2 2/5 = (2 x 5 + 2) / 5 = 12/5
Now, find the sum of 13/3 and 12/5:
(13/3) + (12/5) = (13 x 5 + 12 x 3) / (3 x 5) = (65 + 36) / 15 = 101/15
Finally, subtract 101/15 from 25 1/2:
25 1/2 - 101/15 = (25 x 2 + 1) - (101/15) = 51/2 - 101/15
To subtract fractions with different denominators, you need to find a common denominator. In this case, the least common multiple (LCM) of 2 and 15 is 30.
(51/2) x (15/15) = 765/30
(101/15) x (2/2) = 202/30
Now, subtract the fractions:
765/30 - 202/30 = (765 - 202) / 30 = 563/30
Therefore, the result of subtracting from 25 1/2 the sum of 4 1/3 and 2 2/5 is equal to 563/30.
3. To increase the sum of 4 3/14 and 5 2/7 by 4 1/2, you need to find the sum and then add 4 1/2 to it.
First, convert all the given fractions into improper fractions:
4 3/14 = (4 x 14 + 3) / 14 = 59/14
5 2/7 = (5 x 7 + 2) / 7 = 37/7
Now, find the sum of 59/14 and 37/7:
(59/14) + (37/7) = (59 x 7 + 37 x 2) / (14 x 7) = (413 + 74) / 98 = 487/98
Finally, add 4 1/2 to 487/98:
4 1/2 + 487/98 = (4 x 98 + 1 x 2 + 487) / 98 = (392 + 2 + 487) / 98 = 881/98
Therefore, the result of increasing the sum of 4 3/14 and 5 2/7 by 4 1/2 is equal to 881/98.
4. To decrease 12 5/8 by 3 2/5, you need to find the difference between them.
First, convert all the given fractions into improper fractions:
12 5/8 = (12 x 8 + 5) / 8 = 101/8
3 2/5 = (3 x 5 + 2) / 5 = 17/5
Now, subtract 17/5 from 101/8:
101/8 - 17/5 = (101 x 5 - 17 x 8) / (8 x 5) = (505 - 136) / 40 = 369/40
Therefore, the result of decreasing 12 5/8 by 3 2/5 is equal to 369/40.
5. To subtract -10 4/5 minus 4 3/7, you need to subtract the second number from the first one.
First, convert all the given fractions into improper fractions:
-10 4/5 = (-10 x 5 + 4) / 5 = -50/5 + 4/5 = -46/5
4 3/7 = (4 x 7 + 3) / 7 = 31/7
Now, subtract 31/7 from -46/5:
-46/5 - 31/7 = (-46 x 7 - 31 x 5) / (5 x 7) = (-322 - 155) / 35 = -477/35
Therefore, -10 4/5 minus 4 3/7 is equal to -477/35.