WEBVTT
00:00:01.610 --> 00:00:08.030
Let’s solve the proportion three-fifths equals some number over 100.
00:00:10.500 --> 00:00:14.310
We can view this equal sign like a scale, a balance.
00:00:14.510 --> 00:00:19.220
Three-fifths has to be exactly equal to something over 100.
00:00:19.500 --> 00:00:21.700
They need to have the same value.
00:00:23.720 --> 00:00:29.050
When that’s the case, these are equivalent fractions; they’re fractions with the same value.
00:00:30.770 --> 00:00:38.970
Moving from five to 100, we can ask the question, what would we multiply by five to equal 100?
00:00:40.900 --> 00:00:42.920
The answer is 20.
00:00:43.310 --> 00:00:47.320
When we multiply five by 20, it equals 100.
00:00:49.660 --> 00:00:56.090
For fractions to be equivalent, we would multiply the numerator and the denominator by the same amount.
00:00:58.170 --> 00:01:02.710
To keep this thing balanced, we need to multiply three by 20 as well.
00:01:05.040 --> 00:01:07.390
Three times 20 equals 60.
00:01:09.340 --> 00:01:12.820
And three-fifths equals 60 one hundredths.