How do you solve #36\frac{1}{2}\times 34\frac{1}{2}#?

2 Answers
Annie
Oct 6, 2016

1259.25

Explanation:

Change both mixed numbers to improper fraction
#73/2# x#69/2# =#5037/4#=1259.25

Or (36+#1/2#)((34+#1/2#)
(36x34)+(36x#1/2#)+(34x#1/2#)+(#1/2#x#1/2#)=1259.25

Jim G.
Oct 6, 2016

#1259 1/4#

Explanation:

To multiply #color(blue)"mixed numbers"#

• Change them to improper fractions.

•Cancel if possible and simplify.

#36 1/2=((2xx36+1))/2=73/2larr" improper fraction"#

and #34 1/2=((2xx34+1))/2=69/2larr" improper fraction"#

Calculation now becomes.

#73/2xx69/2larr" there is no cancelling"#

To complete, multiply values on numerators and denominators.

#73/2xx69/2=(73xx69)/(2xx2)=5037/4#

#rArr5037/4=1259 1/4larr" divide 5037 by 4"#

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