Subtracting tenths and hundredths together is very much like subtracting any combination of numbers. One must be very careful to line up the numbers by place value in order to get the correct remainder.
Notice in the illustration below how every tenth can also be written as a hundredth, This is very helpful when subtracting decimals.

.5 

.50 

.3 

.30 

.2 

.20 
Notice in the example below how making the five tenths into fifty hundredths helps with lining up the numbers for subtraction.
.5 
.50 
Five tenths or fifty hundredths minus 
.47 
.47 
Forty seven hundredths 
.03 
.03 
Three hundredths 
Notice in the example below how changing the whole number two to two and zero hundredths helps with lining up the numbers to subtract.
3.52 
3.52 
Three and fiftytwo hundredths minus 
2 
2.00 
Two or two and zero hundredths 
1.52 
1.52 
One and fiftytwo hundredths 
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Dividing Decimals  Decimals & Money  Metric Measurement  Percents 