How do you evaluate #7.8+ \frac { 2} { 3}#?

1 Answer
Daniel L.
Sep 12, 2017

See explanation.

Explanation:

You can evaluate this in 2 ways.

Method 1 - using decimals:

#7.8+2/3=7.8+0.(6)=8.4(6)#

Method 2 - using fractions:

#7.8+2/3=78/10+2/3=39/5+2/3=#

#=117/15+10/15=127/15=8 7/15#

As you see the second method looks "clearer" because every decimal can be easily changed to a fraction, but when changing fractions to decimals periods can appear.

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