'7/8' means seven divided by eight. '.
Set up your division bracket
8)7.00000 =
Note the position of the '7' , the decimal point and the 'zeroes'.
We say '8' into '7' won't go , so '0' in the answer then carry the decimal point into the answer.
Hence
8)70000 = 0.
We now say '8' into '70' goes '8' times(=64) , with a remainder of '6'
So the answer now becomes
8)700000 = 0.8 The remainder is carried to the next '0' to read '60'.
We now say '8' into '60' goes '7' times(=56) , with a remainder of '4'
So the answer now becomes
8)70000... = 0.87 The remainder is carried to the next '0' to read '40' We now say '8' into '40' goes '5' times(=40 ) , with NO remainder.
So the answer now becomes
8)70000 - 0.875
Since there is no remainder , the division stops and the 0.875 is the answer.
7/8 = 0.875
This method is good for all fraction/ decimal conversion. However, you will find that some fractions on conversion repeat to infinity. e.g. 1/3 = 0.3333....
The 'stops/periods' indicate to mathematicians the repetition is to infinity.
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5,798 to 3 decimals
The decimals increase incrementally by 0.125 for each eighth added. So 0 eighths is 0, 1 eighth is 0.125, 2 eighths is 0.25, etc.
Half of 17 and five-eighths inches is 8 and seven-eighths inches. To find this, first convert 17 and five-eighths to an improper fraction, which is 141/8 inches. Dividing this by 2 gives you 141/16 inches, which simplifies to 8 and seven-eighths inches.
Seven eighths divided by 28.35 = 0.03086419753
It is 49/64.