Question

$what \: should \: be \: added \: to \: \frac{ - 5}{8} \: to \: get \frac{3}{9}$
​

Answer 1

Answer:

Fractions and binomial coefficients are common mathematical elements with similar characteristics - one number goes on top of another. This article explains how to typeset them in LATEX.

Contents

1 Introduction

2 Displaying fractions

3 Continued fractions

4 Binomial coefficients

5 Reference guide

6 Further reading

Introduction

Using fractions and binomial coefficients in an expression is straightforward.

The binomial coefficient is defined by the next expression:

\[

\binom{n}{k} = \frac{n!}{k!(n-k)!}

\]

FractionsBinomialEx1edit.PNG

For these commands to work you must import the package amsmath by adding the next line to the preamble of your file

\usepackage{amsmath}

Open an example in Overleaf

Displaying fractions

The appearance of the fraction may change depending on the context

Fractions can be used alongside the text, for

example \( \frac{1}{2} \), and in a mathematical

display style like the one below:

\[\frac{1}{2}\]

FractionsBinomialsEx2.png

As you may have guessed, the command \frac{1}{2} is the one that displays the fraction. The text inside the first pair of braces is the numerator and the text inside the second pair is the denominator.

Also, the text size of the fraction changes according to the text around it. You can set this manually if you want.

Answer 2

Answer = 23 /24

Let the number be x

$\frac{ - 5}{8} + x = \frac{3}{9}$

$\implies \: x = \frac{3}{9} + \frac{5}{8}$

$\implies \: x = \frac{1}{3} + \frac{5}{8}$

$\implies \: x \: = \frac{8 + 15}{24}$

$\implies \: x = \frac{ 23}{24}$