From 85e4b48334afea76ce5547525affc982579abef6 Mon Sep 17 00:00:00 2001 From: thomasabishop Date: Tue, 3 May 2022 07:00:04 +0100 Subject: [PATCH] Last Sync: 2022-05-03 07:00:04 --- Mathematics/Prealgebra/Dividing_fractions.md | 3 ++- Mathematics/Prealgebra/Mixed_and_improper_fractions.md | 8 ++++++-- 2 files changed, 8 insertions(+), 3 deletions(-) diff --git a/Mathematics/Prealgebra/Dividing_fractions.md b/Mathematics/Prealgebra/Dividing_fractions.md index 5a12a45..b521cbf 100644 --- a/Mathematics/Prealgebra/Dividing_fractions.md +++ b/Mathematics/Prealgebra/Dividing_fractions.md @@ -43,7 +43,8 @@ Note that we omit the numerator but that technically the answer would be $\frac{ We combine the foregoing (that it is easier to divide by fractional amounts using multiplication) with the concept of a [reciprocol](Reciprocals.md) to arrive at a definitive method for dividing two fractions. It boils down to: _invert and multiply_: -If $\frac{a}{b}$ and $\frac{c}{d}$ are fractions then: $$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \cdot \frac{d}{c}$$ +If $\frac{a}{b}$ and $\frac{c}{d}$ are fractions then: +$$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \cdot \frac{d}{c}$$ We invert the divisor (the second factor) and change the operator from division to multiplication. diff --git a/Mathematics/Prealgebra/Mixed_and_improper_fractions.md b/Mathematics/Prealgebra/Mixed_and_improper_fractions.md index 04f86e9..3b3ae18 100644 --- a/Mathematics/Prealgebra/Mixed_and_improper_fractions.md +++ b/Mathematics/Prealgebra/Mixed_and_improper_fractions.md @@ -63,7 +63,7 @@ $$ ## Multiplying and dividing by mixed fractions Now that we know how to convert mixed fractions into improper fractions, it is straight forward to multiply and divide with them. We convert the mixed fraction into an improper fraction and then divide and multiply as we would with a proper fraction. -### Demonstration +### Demonstration of multiplication Calculate $-2\frac{1}{12} \cdot 2 \frac{4}{5}$: @@ -107,5 +107,9 @@ Calculate $-2\frac{1}{12} \cdot 2 \frac{4}{5}$: \end{split} $$ +## Demonstration of division +Again we convert the mixed fraction into an improper fraction and then follow the requisite rule, in the case of division this is to [invert and multiply]('./../Dividing_fractions.md#formal-specification-of-how-to-divide-fractions'). + +Calculate + ## Adding and subtracting mixed fractions - \ No newline at end of file