WEBVTT

1
00:00:00.000 --> 00:00:03.715
Here is the problem: 6 over 10 minus 7 over 3.

2
00:00:04.165 --> 00:00:08.054
Exact arithmetic with fractions (results kept in lowest terms).

3
00:00:08.854 --> 00:00:15.332
Rewrite both fractions with the least common denominator. The LCD of 5 and 3 is 15.

4
00:00:15.782 --> 00:00:18.661
Subtract the numerators and keep the denominator.

5
00:00:19.111 --> 00:00:21.247
Final answer in lowest terms.

6
00:00:22.047 --> 00:00:25.216
So the answer is negative 26 over 15.

7
00:00:25.667 --> 00:00:38.717
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.

8
00:00:39.517 --> 00:00:47.493
Decimal check: negative 26 over 15 approximately negative 1.733333333.

9
00:00:47.943 --> 00:00:51.438
As a mixed number: negative 1 11 over 15.