DIVIDING FRACTIONS HEBREWIZED

MATH
before we begin let's get in some relevant Hebrew vocabulary so that we are advancing our Hebraic education in every circumstance

Fraction
5eVeR Pa5u9 שבר פשוט

Formula
NuXCaH נוסחה

Formula:
Leave me/change me/turn me over

1/2 ÷ 1/6
Becomes
1/2 × 6/1= 6/2=3


FURTHER DETAIL
Step 1. Turn the second fraction upside down (the reciprocal):

1/6 becomes 6/1


Step 2. Multiply the first fraction by that reciprocal:

1/2 × 6/1=1×6/2×1=6/2


Step 3. Simplify the fraction:

6/2=3

Fractions and Whole Numbers

What about division with fractions and whole numbers?

Make the whole number a fraction, by putting it over 1.

Example: 5 is also 5/1

Then continue as before.

Example:

2/3÷5

Make 5 into 5/1 :

2/3÷5/1


Step 1. Turn the second fraction upside down (the reciprocal):

5/1 becomes 1/5


Step 2. Multiply the first fraction by that reciprocal:

2/3×1/5=2 × 1/3 × 5=2/15


Step 3. Simplify the fraction:

The fraction is already as simple as it can be.

Answer =  2/15

Why Turn the Fraction Upside Down?

Because dividing is the opposite of multiplying!

So instead of dividing by a fraction, it is easier to turn that fraction upside down, then do a multiply.