estimate the answer to the following question:
what number is 1/4 of 31.975?
find the quotent of 120/5
7divided by 5 5/6
2007-11-27 12:31:42 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
1) 31.975 almost = 32
1/4 * 32=8
2)120/5=(100/5) +( 20/5) = 20+ 4= 24
3) 5 5/6=35/6
7 / 35/6 = (7* 6) /35 = 1.2
2007-11-27 12:54:15 · answer #1 · answered by rolexman 3 · 0⤊ 0⤋
31.975 is very close to 32
1/4 of 32 is 8
so the answer is very close to 8
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You can always multiply a fraction by 1 (multiplying anything by 1 never changes its value).
The trick is to find how to write 1 in a constructive way.
In this case, I choose 2/2 (two halves is the same as 1)
2/2 * 120/5 = 240/10
a much easier operation to resolve.
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7 divided by 5 5/6 =
7 divided by ( 5 + 5/6) =
7 divided by [ 5*(6/6) + (5/6) ] =
7 divided by [ 30/6 + 5/6 ] =
7 divided by [35/6]
Dividing by a number is the same as multiplying by its multiplicative inverse.
For example: A divided by 2 is the same as A*(1/2)
Therefore A divided by (p/q) is the same as A*(q/p)
7 divided by (35/6) is the same as
7*(6/35) = 42/35 = (6/5)*(7/7) = (6/5) = (5/5 + 1/5) = 1 1/5
(we used 7/7 = 1 and 5/5 = 1 to get rid of them)
2007-11-27 20:44:56 · answer #2 · answered by Raymond 7 · 0⤊ 0⤋
1/4 * 31.975
=1/4 * (31 + 195/200)
= 7 + 3/4 + 195/800
120/5 = 24
7/(35/6) = 6/5
2007-11-27 20:35:32 · answer #3 · answered by hemant_gome 2 · 0⤊ 1⤋
8
24
42/31
2007-11-27 20:36:24 · answer #4 · answered by person 2 · 0⤊ 0⤋
1. 7.994
2. 24
3. 1.2
2007-11-27 20:35:46 · answer #5 · answered by Anonymous · 0⤊ 0⤋