Geometric Bites

An improper fraction being turned into a mixed number. Fractions are used to represent parts of a whole, but once a fraction becomes larger than 1, there are two common ways to write it: as an improper fraction or as a mixed number . These two forms often represent exactly the same quantity; the difference is simply how the number is written. Improper fractions An improper fraction is a single fraction where the numerator is greater than or equal to the denominator. This means the fraction is at least 1 whole (and possibly more). Examples: 7/4 12/5 9/9 In 7/4, there are 7 parts, and each whole is made from 4 parts. Since 7 is larger than 4, the value is greater than 1. Mixed numbers A mixed number is written as a whole number followed by a proper fraction. The proper fraction shows the leftover part after counting whole units. Examples: 1 3/4 2 2/5 3 1/6 In 1 3/4, the “1” shows one whole, and “3/4” shows three extra quarters. Same value, differe...

Below are the workings required to build an interactive graph that finds the points where a line and quadratic equation intersect . Here 'a' is not equal to 0 as it becomes part of the denominator a fraction . Also, if 'a' were equal to 0, we'd have a line intersecting a line, not a parabola (for instance). When we have the formula for 'x', we just plug it back into the linear equation to get the outcomes for 'y'. And there we have it, the points where a line and quadratic equation intersect. To see the interactive graph I was talking about, visit the Desmos link below: https://www.desmos.com/calculator/sqzjajbhea