\fdO'^ - Old Forge Coal Mines

ARITHMETIC. 17
(36) The value of a fraction is obtained by dividing the
the denominator.
numerator by
13
To obtain the value of the fraction — we divide the num-
Z
erator 13 by
the denominator 2. 2 is contained in 13 six
times, with 1 remaining. This 1 remaining
is written over
the denominator 2, thereby making the fraction — , which is
annexed to the whole number G, and we obtain 6— as the
z
mixed number. The reason for performing this operation is
the following :
2 13
In 1 there are — (two halves), and in — (thir-
Z 2
teen halves) there are as many units (1)
as 2 is contained
times in 13, which is
6, and —
(one-half) unit remaining.
z
13 11
Hence, — = 6 + — = 6-, the required mixed number. Ans.
i/v z z
ll Ans.
(37) In division of fractions, invert the divisor (or, in
other words, turn it upside down) and proceed as in multi-
plication.
t \ OK 5 35 _ 16 35 X 16 560 . ^,„
(^)35^- = -X-^ = -33^ = -^ = 112. Ans.
(h\ l^q-9 .3_91_ 9X1 _ 9 ^^^
_ 3 .
16 •
^-T6T-16^3-]JxT-48~"l6* ^''^
^'^
2
• -^ -
2
"" - >^
r T 9 - TxT ~ IS'
^"^•
(d\ H^ ^ -1 = 11^ V — = 11^ X 1^ _ 1>808 _ 452 ^ ^
_
64 16 64 ^ ~ ~
7 64X7 448 ""lia-
113
28)113(44. ^"^•
^^
112