WEBVTT
00:00:01.830 --> 00:00:04.440
Convert 0.42 to a fraction.
00:00:05.730 --> 00:00:15.400
Well, 0.42, if we consider the place value of each of those digits, the zero is in the ones column, the four is in the 10ths column, and the two is in the 100ths column.
00:00:16.330 --> 00:00:20.220
So we could construe this as meaning four 10ths plus two 100ths.
00:00:21.590 --> 00:00:28.250
And in order to get a common denominator, we’re going to need to multiply the first fraction by 10 over 10.
00:00:29.460 --> 00:00:31.440
And 10 times four is 40.
00:00:31.440 --> 00:00:32.760
And 10 times 10 is 100.
00:00:32.760 --> 00:00:42.830
So four 10ths is the same as 40 100ths, which means we’ve got forty 100ths plus two 100ths, which is equal to 42 100ths.
00:00:44.130 --> 00:00:48.150
Or we might recognize straight away that the last digit is in the 100ths column.
00:00:48.150 --> 00:00:51.760
So we can just read this number off here as 42 100ths.
00:00:52.830 --> 00:00:57.470
Either way, we can write down the equivalent fraction as 42 over 100.
00:00:57.740 --> 00:00:59.350
So we have converted it to a fraction.
00:00:59.560 --> 00:01:03.080
But usually in these sort of things, they’re gonna want you to convert it to its simplest form.
00:01:03.310 --> 00:01:06.370
And 42 and 100 are both divisible by two.
00:01:07.300 --> 00:01:10.520
And twos into 42 go 21 times.
00:01:10.520 --> 00:01:13.340
And twos into 100 go 50 times.
00:01:13.800 --> 00:01:15.820
So we’ve got 21 over 50.
00:01:16.210 --> 00:01:19.480
Now 21 and 50 don’t have any common factors bigger than one.
00:01:19.480 --> 00:01:21.060
So that’s as simple as it goes.
00:01:22.310 --> 00:01:24.780
The answer is 21 over 50.