7/9 devided by 5/6
Becomes
7/9 * 6/5
how does this become 14/15?
2007-01-13 08:49:07 · 5 answers · asked by grem 3 in Science & Mathematics ➔ Mathematics
7/9 * 6/5
The reason it becomes 14/15 is because you can not only reduce fractions vertically, but also diagonally.
Notice that the 9 on the bottom in the first fraction and the 6 on the top in the second fraction have a common factor of 3. Therefore, we can divide each one by 3. Showing you step by step,
(7/9) * (6/5) = (7/3) * (2/5)
See how the 9 become a 3 and the 6 became a 2? That was a result of "reducing" the "fraction" diagonally. Now we multiply normally and get 14/15
2007-01-13 08:54:58 · answer #1 · answered by Puggy 7 · 2⤊ 0⤋
*The rule is you can't divide fractions > take the 1st fraction and multiply it by the reciprocal of the 2nd fraction...
7/9 * 6/5
First: multiply the numerators...
7*6 = 42
Sec: multiply the denominators...
9*5 = 45
Third: place the new numerator over the new denominator...
42/45
*Simplify the fraction into lowest terms, if possible > find one number that can divide into the numerator and denominator evenly... the number is 3
*Divide the numerator and denominator by 3...
(42/3) / (45/3)
14/15
2007-01-13 21:03:43 · answer #2 · answered by ♪♥Annie♥♪ 6 · 0⤊ 0⤋
Two ways.
multiply across and get 42/45
3 goes into 42 , 14 times,
3 goes into 45, 15 times,
so you get 14/15
Or recognize that 3 goes into both 9 in the denominator and 6 in the numerator so divide each by 3 and get
7/3*2/5
now multiply across and you get 14/15
2007-01-13 16:57:17 · answer #3 · answered by mom 7 · 1⤊ 0⤋
7*6 = 42
9*5 = 45
42/45 reduces to 14/15
wow...
2007-01-13 16:54:05 · answer #4 · answered by MM&FF 2 · 0⤊ 2⤋
it doesnt. i dont think, isnt it 42/45? if u make it smaller, i forgot the word. it is 14/15
2007-01-13 17:38:28 · answer #5 · answered by carissa 2 · 0⤊ 0⤋