Convert #1 1/4# come an improper portion by multiplying the denominator by the totality number #1#, and including the molecule #1#. Set the result over the denominator #4#.

You are watching: 1/2 x 1/2

#(4xx1+1)/4=5/4#

Rewrite the equation.

#x-1/2=5/4#

#x=5/4+1/2#

In order to add or subtract fractions, the denominators must be the same. In this instance the least usual denominator (LCD) is #4#. Main point #1/2# through a fraction equal come #1# in order to produce an identical fraction. For instance #5/5=1#. This way the value of the portion is no changed.

Multiply #1/2# through #2/2#.

#x=5/4+1/2xx2/2#

Simplify.

#x=5/4+2/4#

Simplify.

#x=7/4#

Kushagra
Nov 11, 2017

First, make the mixed portion into improper fraction,#x-1/2=5/4#Add 1/2 top top both sides#x cancel(-1/2)cancel(+1/2)=5/4+1/2#Find LCM,LCM is 4#x=5/4+(1*2)/(2*2)##x=5/4+2/4#Add#x=7/4#Or,#x=1 3/4#Or,#x=1.75#

Ms. Precious
Nov 21, 2017

Sometimes fractions and decimals are straightforward if friend think that them together money.

Explanation:

Thinking that it as money, the concern says:

1) You have a specific amount that money i beg your pardon is called #x#.

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2) You spend a half a dollar (two quarters), created as #- 1/2#

3) You finish up with one dollar and one quarter #1 1/4#

#x# . . . .#-# . . . . . #1/2# . . . . #=# . . . . #1 1/4# \$ . . . Minus . . . 50ȼ . . . #=# . . . \$1.25

Maybe you already know the answer without doing any kind of math.

You spend 50ȼ and also end up through \$1.25.How much did you need to start?

Answer:You must have actually started through "\$1 and also 3 quarters" (\$1.75)

because spending "2 quarters" (half a dollar)

leaves you with "\$1 and one quarter." (\$1.25)

#\$1.75 - \$0.50 = \$1.25#

Answer:#x = 1 3/4# #larr# one dollar and 3 soldier = \$1.75