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**Quick Math:**

Learn the following fractions and you will be able to solve quick math problems without calculator.

**( See Example Q below)**

1/4=0.25

2/5=0.4

3/5=0.6

4/5=0.8

1/6=0.1666

2/6=0.3333

3/6=0.5

4/6=0.6666

5/6=0.8333

1/7=0.1428

2/7=0.2857

3/7=0.4285

4/7=0.5714

5/7=0.7142

6/7=0.8571

1/8=0.125

2/8=0.25

3/8=0.375

4/8=0.5

5/8=0.625

6/8=0.75

7/8=0.875

1/9=0.1111

2/9=0.2222

3/9=0.3333

4/9=0.4444

5/9=0.5555

6/9=0.6666

7/9=0.7777

8/9=0.8888

You have to rote-memorize these fractions to be able to solve quick-math problems.

**Example Q: 9 X 0.6666 = ?**

**A= 7.3636**

**B= 6**

**C= 8.4224**

**D= 6.6**

**Solution:**9 X 0.6666= 9 X 2/3 =

**6**

**Q. Increase:**

**60 by 35%**

60 X 135/100 = 81

**28 by 125%**28 X 225/100 = 63

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**Q. Decrease:**

**32 by 25%**

=32 X (100-25)/100

=32 X 75/100**=24**

216 by 37.5%

=216 X (100-37.5)/100

=216 X 62.5/100**=135**

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**Q. What number when increase by 15% becomes 161?**

Let a be the required number

a X 115/100 = 161

a= 161 X 100/115

a= **140**

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**Math Shortcuts:**

**When Multiplying a number by 5:**

**68 X 5 = ?**

=68 X 5

=68 X 10/2

=680/2

=

**340**

**When dividing a number by 5:**

**260/5 = ?**

**52**

**Q. 52 X 11**

**5_2**

Now add the two numbers together and put them in the middle:

5_(5+2)_2

=

**572**

If the numbers in the middle add up to a 2 digit number, just insert the second number and add 1 to the first:

9_(9+9)_9

(9+1)_8_9

10_8_9

**=1089**

**Quick Square:**

**Q. 25^2**

**625**

**Q. 35^2**

**1225**

**Tough Multiplication:**

**32 X 125 = ?**

32 x 125, is the same as:

**4,000**

**Problem Solving:**

**Q- The workers of an electronic company were given an increase of 8% of their monthly salaries. If Mr. Leoni Messi earned $600 per month originally, find his salary after the increment.**

**Solution:**

=600 X 108/100

=**648**

**Mr. Leoni Messi's salary after increment is 864. Find his orginal salary.**

**Solution:**

= 864 X 100/108

= **800**

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**Q. A man invests 40% of his savings in the stock market. He invests 50% of the remainder in property and deposits the remaining balance in a bank's savings account. If this last amount is $15000, what was his total savings?**

**Solution:**

40% in Stock Market. Remainder is 60%.

50% of the remainder (60%) is 30% which he invested in property. The remaining 30% is $15000.

30%=15000

1%= 15000/30

1%= 500

100%= **$50000**

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