1
00:00:00,000 --> 00:00:03,260
Proof: equivalent fractions.

2
00:00:03,350 --> 00:00:08,314
By definition, B times A over B equals A.

3
00:00:10,416 --> 00:00:13,556
Multiply both sides by C.

4
00:00:15,650 --> 00:00:19,846
By the associative law, regroup B and C.

5
00:00:21,950 --> 00:00:27,370
So A over B equals A times C over B times C.

6
00:00:31,766 --> 00:00:36,586
The numerator and denominator can both be multiplied by C.

7
00:00:37,483 --> 00:00:40,119
Equivalent Fractions.

8
00:00:40,216 --> 00:00:46,284
By the rule, A over B equals A times C over B times C.

9
00:00:48,383 --> 00:00:51,636
So one half equals one times two

10
00:00:51,736 --> 00:00:55,723
over two times two, equals two fourths.

11
00:00:57,833 --> 00:01:01,126
And one half equals one times three

12
00:01:01,226 --> 00:01:05,197
over two times three, equals three sixths.

13
00:01:08,500 --> 00:01:13,056
One half, the whole divided into two equal parts.

14
00:01:13,450 --> 00:01:18,318
Two fourths, the same whole divided into four equal parts.

15
00:01:18,716 --> 00:01:23,728
Three sixths, the same whole divided into six equal parts.

16
00:01:24,316 --> 00:01:30,000
One half equals two fourths, equals three sixths.