WEBVTT

1
00:00:00.000 --> 00:00:04.168
Here is the problem: 8 over 14 divided by 10 over 5.

2
00:00:04.618 --> 00:00:08.554
Exact arithmetic with fractions (results kept in lowest terms).

3
00:00:09.354 --> 00:00:12.999
Dividing by a fraction means multiplying by its reciprocal.

4
00:00:13.450 --> 00:00:17.049
Multiply numerators and multiply denominators.

5
00:00:17.499 --> 00:00:21.795
Simplify. Divide numerator and denominator by their GCF, 2.

6
00:00:22.245 --> 00:00:24.404
Final answer in lowest terms.

7
00:00:25.205 --> 00:00:27.364
So the answer is 2 over 7.

8
00:00:27.815 --> 00:00:40.795
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.

9
00:00:41.595 --> 00:00:49.258
Decimal check: 2 over 7 approximately 0.2857142857.
