WEBVTT

1
00:00:00.000 --> 00:00:05.364
Here is the problem: 19 over 9 plus 8 minus 5 times 5.

2
00:00:05.814 --> 00:00:09.773
Exact arithmetic with fractions (results kept in lowest terms).

3
00:00:10.573 --> 00:00:16.552
Rewrite both fractions with the least common denominator. The LCD of 9 and 1 is 9.

4
00:00:17.002 --> 00:00:19.278
Add the numerators and keep the denominator.

5
00:00:19.728 --> 00:00:23.049
Multiply numerators and multiply denominators.

6
00:00:23.499 --> 00:00:29.571
Rewrite both fractions with the least common denominator. The LCD of 9 and 1 is 9.

7
00:00:30.371 --> 00:00:33.285
Subtract the numerators and keep the denominator.

8
00:00:33.735 --> 00:00:35.883
Final answer in lowest terms.

9
00:00:36.683 --> 00:00:40.282
So the answer is negative 134 over 9.

10
00:00:40.732 --> 00:00:53.584
Fractions are combined over a common denominator for addition and subtraction, multiplied straight across, and divided by multiplying by the reciprocal. The result is reduced by the greatest common factor.

11
00:00:54.384 --> 00:01:02.825
Decimal check: negative 134 over 9 approximately negative 14.88888889.

12
00:01:03.274 --> 00:01:06.699
As a mixed number: negative 14 8 over 9.
