How do you evaluate #3\frac { 1} { 8} \times 4\frac { 3} { 4} \times 1\frac { 2} { 5}#?

1 Answer
Meave60
Nov 13, 2017

#3 1/8xx4 3/4xx1 2/5=color(blue)(665/32#

Explanation:

Simplify:

#3 1/8xx4 3/4xx1 2/5#

Convert each mixed fraction to an improper fraction by multiplying the denominator by the whole number, and adding the numerator, and place the result over the denominator.

#(8xx3+1)/8xx(4xx4+3)/4xx(5xx1+2)/5#

Simplify.

#25/8xx19/4xx7/5#

Multiply the numerators and denominators across.

#(25xx19xx7)/(8xx4xx5)#

Simplify.

#3325/160#

Simplify by dividing the numerator and denominator by #5#.

#(3325-:5)/(160-:5)=665/32#

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