Convert #1 1/4# come an improper fraction by multiply the denominator by the entirety number #1#, and including the molecule #1#. Collection the an outcome over the denominator #4#.

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

Rewrite the equation.

#x-1/2=5/4#

#x=5/4+1/2#

In stimulate to add or subtract fractions, the denominators have to be the same. In this situation the least common denominator (LCD) is #4#. Multiply #1/2# through a portion equal come #1# in stimulate to produce an equivalent fraction. For instance #5/5=1#. This method the worth of the fraction is not changed.

Multiply #1/2# by #2/2#.

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

Simplify.

#x=5/4+2/4#

Simplify.

#x=7/4#

Kushagra
Nov 11, 2017

First, do the mixed fraction into not correct fraction,#x-1/2=5/4#Add 1/2 on 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. Worth
Nov 21, 2017

Sometimes fractions and decimals are easy if friend think of them as money.

Explanation:

Thinking the it as money, the question says:

1) You have actually a certain amount the money which is dubbed #x#.

See more: Some Comfort Gained From The Acceptance Of The Inherent Lies In Everything

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

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

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

Maybe you currently know the answer without doing any math.

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

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

because security "2 quarters" (half a dollar)

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

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

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