3/5 7/12 Multiply both sides by 12*5 3/5 (5*12) 7/12 (5*12) 3*12 7*5 36 35 Since 36 and 35 are just constant multiples of the original fractions, we can conclude that 3/5 > 7/12 In decimal notation, 3/5 = 0.6 while 7/12 is approximately 0.583
3/5 x 7/12 is 7/20
5 7/12 - 3 5/6 = 4 19/12 - 3 10/12 = 1 9/12 = 1 3/4
true. 5+3=8 8+7=15 5+7=12 12+3=15
So the question is, is 5/8 > 7/12. Multiply by 8: is 5 > 14/3? Now multiply by 3: is 15 > 14? Yes it is, so 5/8 > 7/12.
3/5 7/12 Multiply both sides by 12*5 3/5 (5*12) 7/12 (5*12) 3*12 7*5 36 35 Since 36 and 35 are just constant multiples of the original fractions, we can conclude that 3/5 > 7/12 In decimal notation, 3/5 = 0.6 while 7/12 is approximately 0.583
-0----------1---------|-0-------------------2--------|-0---------1------------ -0----------1---------|-0-------------------5--------|-0---------1------------ -0----------2---------|-0---------5---------4--------|-0---------2------------ -2----------3---------|-2---------5---------4--------|-2---------3------------ -3----------3---------|-3---------3---------2--------|-3---------3------------ -3--------------------|-3----------------------------|-3---------------------- CM7/G F/C CM7/G C Bsus4 CM7/G F/C -0----------------------|----------------------------------------------------- -0----------------------|-----------4-----4----------------------------------- -0----------5---------4-|-------4-----4-4-----4------------------------------- -2----------5---------4-|---4-----2---------4-----4--------------------------- -3----------3---------2-|-2---2-----------------2---4-2----------------------- -3----------------------|----------------------------------------------------- CM7/G C B B -------------3-----3-------------|---------------7-----7---------------------- ---------4-----4-4-----4---------|-----------8-----8-8-----8------------------ -----3-----3---------3-----3-----|------7------7---------7------7------------- -----------------------------3---|--------------------------------7----------- -6-4---6-----------------6-----6-|-10-8---10-----------------10-----10-------- ---------------------------------|-------------------------------------------- Eb G -------------------11-------11------------------------------------------------ -------------12-------12-12-------12------------------------------------------ -------11-------11-------------11-------11------------------------------------ -------------------------------------------12--------------------------------- -14-12----14-------------------------14-------14------------------------------ ------------------------------------------------------------------------------ B ---------------7-----7-----|-------------------------------------------------- -----------8-----8-8-----8-|-------------7-----7------------------------------ ------7------7---------7---|---7-----7-----7-7-----7-------------------------- ----7----------------------|-----7-----7---------7---------------------------- -10-----10-----------------|-5-----5------------------------------------------ ---------------------------|-------------------------------------------------- G D -------------5-----5-----|---------------------------------------------------- ---------6-----6-6-----6-|-------------5-----5-------------------------------- -----5-----5---------5---|---5-----5-----5-5-----5---------------------------- ---7---------------------|-----5-----5---------5------------------------------ -8-----8-----------------|-3-----3-------------------------------------------- -------------------------|---------------------------------------------------- F C -----------------------------------------|------------------------------------ -3-----3-----3-----3---------------------|-------------4-----4---------------- -----4-----4-----4-----4-----------------|---------4-----4-4-----4------------ ---5-----5-----5-----5---3-5-5-3---5-----|-----4-----2---------4-----4-------- ---------------------------------3---5-3-|-2-5---2-----------------2---4-2---- -----------------------------------------|------------------------------------ G Bm B -------------3-----3-------------|---------------7-----7---------------------- ---------4-----4-4-----4---------|-----------8-----8-8-----8------------------ -----3-----3---------3-----3-----|------7------7---------7------7------------- -----------------------------3---|--------------------------------7----------- -6-4---6-----------------6-----6-|-10-8---10-----------------10-----10-------- ---------------------------------|-------------------------------------------- Eb G -------------------11-------11-------|-------------------12-------12---------- -------------12-------12-12-------12-|-------------13-------13-13-------13---- -------11-------11-------------11----|-------12-------12-------------12------- -------------------------------------|----14---------------------------------- -14-12----14-------------------------|-14-------14---------------------------- -------------------------------------|---------------------------------------- B C -------------------14-------14-------|-------------------16-------16---------- -------------15-------15-15-------15-|-------------17-------17-17-------17---- -------14-------14-------------14----|-------16-------16-------------16------- ----17-------------------------------|----19---------------------------------- -17-------17-------------------------|-19-------19---------------------------- -------------------------------------|---------------------------------------- D E -16-------16-|----------|-14-12----12-14-------12----------------------------- -------17----|----17----|-------15-------15-13----15-13-12-15-13-12----13-12-- ----16-------|-------16-|-------------------------------------------14-------- -------------|-16-------|----------------------------------------------------- -------------|----------|----------------------------------------------------- -------------|----------|----------------------------------------------------- (repeat 9x) ------------------------------------------------------------------------------ -------12--------------------------------------------------------------------- -14-12----14-12-11-14-12-11----12-11-------11--------------------------------- ----------------------------14-------14-12----14-12----14-12-------12--------- ----------------------------------------------------15-------15-14----15-14--- ------------------------------------------------------------------------------ ----------------|-----------------------------------|------------------------- ----------------|-----------------------------------|------------------------- ----------------|-----------------7---7-------------|------------------------- ----------------|-------------------7---5-7-4-5---4-|------------------------- -12-15-14-12-12-|-5-7-7-5-5-7-7-5---------------7---|-5-7-7-5-5-7-7-5-5-7----- ----------------|-----------------------------------|------------------------- [: 1 2 3 ---------|-------------------------------------------------------------------- ---------|-------------------------------------------------------------------- ---------|-------------------------------------------------------------------- ---------|-------------------------------------------------------------------- ---5-----|-5-7-7-5-5-7-7-5-5-7-7-5-5-7-7-5-5-7-7-5-5-7-7-5-5-7-7-5-5-7-7-5-5-- -3---3-2-|--------------------------------------------------------------------
12 - 7 = 5 5 + (-3) = 2
3/5 x 7/12 is 7/20
5 7/12 - 3 5/6 = 4 19/12 - 3 10/12 = 1 9/12 = 1 3/4
true. 5+3=8 8+7=15 5+7=12 12+3=15
no 3/7 is larger than 5/12
5+7 = 12 12 times 6 = 72 add the 3 to get 75.
4/7 = 20/35 3/5 = 12/20 Therefore, 3/5 of 4/7 = 12/35
So the question is, is 5/8 > 7/12. Multiply by 8: is 5 > 14/3? Now multiply by 3: is 15 > 14? Yes it is, so 5/8 > 7/12.
It is 5+7+12 = 24/3 = 8 which is the mean average
7 + 5 = 12 12 x 6 = 72 72 + 3 = 75 3 + [6 x (5 + 7)] = 75 3 + [6 x 12] = 3 + 72 = 75