**MACHINE SHOP CALCULATION - OD1640 - LESSON 1/TASK 1**

(1) *Rule 1*.

Multiplying or dividing both numerator and denominator of a

fraction by the same number does not change the value of the fraction.

EXAMPLE

1/4 X 2/2 = 2/8 X 2/2 = 4/16.

Then 1/4, 2/8, and 4/16 all represent the

same fraction or value.

(2) *Rule 2*.

Multiplying the numerator or dividing the denominator by a

number multiplies the fraction by that number.

EXAMPLE

(3) *Rule 3*.

Dividing the numerator or multiplying the denominator by a

number divides the fraction by that number.

EXAMPLE

b.

*Changing to a Given Denominator*. Changing a whole or mixed number, or

a fraction, to a fraction of a given denominator:

(1) *Rule 1*. First change 1 to a fraction of the given denominator.

Then

multiply the numerator by the given whole number.

EXAMPLE

Reduce 5 to 6ths.

Since 1 = 6/6, 5 = 5 x 6/6 = 30/6.

(2) *Rule 2*. With regard to a mixed number, change the whole number to a

fraction. Then add to

**10**