Ratios and proportions, scaling up and down, currency conversions...even percentages - these are easy to do using this easy to apply method. To support tecmath on Patreon: / tecmath It really helps and is appreciated!
In school I could never understand these for the life of me! Now after watching this video once I already have a better grasp than I ever did. Thanks a bunch, really enjoy these videos!
Math broken down like this makes me feel like a genius lol I’m about to make myself a study sheet just to get these methods memorized! I hope you have stuff in graphs. I’m taking my HiSET on the 30th and onky want to do it once then my ASVAB
Great fun, never seen this method in use. I look at these questions and answer them thus. 1. (650/11)x2. And 2. (3/13)x2. This style of question is common in construction related examinations in reference to concrete design. Where cement, water, coarse aggregate, fine aggregate and and admixtures are combined in ratios to deliver concrete that meets specification. Does the box method extend to multiple ratios?
Both sides are equal with a single unknown. As long as you keep like units in the numerator and like units in the denominator, it will work out with cross multiplication. 3Eggs/2Milk = 5Eggs/xMilk Each side will still be equal if you flip both sides. Since we want to find x and they are equal with either arrangement, I like to start with x in the numerator to save a step. 2Milk/3Egg = x/5Egg 5Egg(2Milk/3Egg) = x the Eggs cancel and you end up with: 10Milk/3 = x Think about what the units of your answers are. If you set it up the other way, you get: 3/10Milk = 1/x It works both ways, but you need to convert back to a whole number from a fraction. Save yourself trouble by getting "x" to the numerator early.
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Draw a box instead of notations/symbols and call it a new easy trick. Its actually easier if you dont draw a box and draw the fraction bars and equal signs. Less and also shorter lines. Even easier if you dont write anything but the numbers. And even easier then that if you dont do anything and just guess randomly.
Box method is good. But please document your work correctly. If axb=c, then a=c, yet you show, for example, 2x3=6/13. This is NOT correct. Your “tricks” are excellent and well explained- but you sometimes document carelessly
I just do mental math and multiply the numbers till the fit. For the thumbnail, 130 miles in 3 hours, how much in 5 hours. 130 divide by 3 is 43.33, multiply 43.33 by 2 you get 86.66 add 130 and you get 216.66 rounded to 217.
For the question 130 miles in 3 hours, how much in 45 minutes. 3 hours is 180 minutes, divide by 4 is 45. So all you gotta do is divide 130 by 4 and you get 32.5.