WEBVTT
00:00:01.940 --> 00:00:04.570
Express three-quarters as a percent.
00:00:06.300 --> 00:00:10.870
A percent or percentage is a ratio that compares a number to 100.
00:00:11.170 --> 00:00:13.830
Percent means out of 100.
00:00:15.460 --> 00:00:21.600
We want to know what three-quarters is equivalent to as a fraction, where the denominator is 100.
00:00:23.230 --> 00:00:26.540
Letβs call the numerator of this fraction π₯.
00:00:28.290 --> 00:00:33.640
Now, there are two different approaches that we can consider for how to find the value of this number π₯.
00:00:35.030 --> 00:00:42.930
In the first approach, we consider that the number four must have been multiplied by 25 in order to reach the number 100.
00:00:44.450 --> 00:00:54.100
If the denominator of a fraction has been multiplied by 25, then the numerator must also be multiplied by 25 in order for the two fractions to be equivalent.
00:00:55.830 --> 00:01:01.660
Therefore, the numerator of the second fraction must be equal to three multiplied by 25.
00:01:03.320 --> 00:01:05.140
This is equal to 75.
00:01:05.340 --> 00:01:10.280
And so we have that three-quarters is equivalent to 75 out of a 100.
00:01:11.790 --> 00:01:16.200
75 out of a 100 is equal to 75 percent.
00:01:18.020 --> 00:01:23.200
The second method that we could have used is to find the cross product of the two fractions.
00:01:24.520 --> 00:01:30.100
This would give three multiplied by 100 is equal to four multiplied by π₯.
00:01:31.670 --> 00:01:35.350
This simplifies to 300 is equal to four π₯.
00:01:35.700 --> 00:01:40.580
In order to find the value of π₯, we need to divide both sides of this equation by four.
00:01:42.100 --> 00:01:47.990
300 divided by four is 75 and four π₯ divided by four is π₯.
00:01:48.120 --> 00:01:51.050
So we have 75 is equal to π₯.
00:01:52.670 --> 00:01:55.830
Three-quarters is equal to 75 percent.