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Solve the Fraction and Decimal Addition Problem: 9/10 + 0.25
Mathematics
Grade 5 of Primary School
Question Content
9/10 + 0.25 =
Correct Answer
1.15 or 23/20
Detailed Solution Steps
1
Step 1: Convert the fraction 9/10 to a decimal. Since 9 divided by 10 is 0.9, 9/10 = 0.9.
2
Step 2: Now add the two decimals: 0.9 + 0.25. Align the decimal points, add the hundredths place: 0 + 5 = 5. Add the tenths place: 9 + 2 = 11. Write down 1 in the tenths place and carry over 1 to the ones place.
3
Step 3: Add the ones place with the carried-over 1: 0 + 0 + 1 = 1. Combine the digits to get 1.15. Alternatively, convert 0.25 to a fraction 1/4, find a common denominator (20) for 9/10 (which becomes 18/20) and 1/4 (which becomes 5/20), then add: 18/20 + 5/20 = 23/20.
Knowledge Points Involved
1
Fraction-Decimal Conversion
A fraction with a denominator that is a power of 10 can be directly converted to a decimal by moving the decimal point of the numerator to the left by the number of zeros in the denominator. For example, 9/10 = 0.9. Decimals can be converted to fractions by writing the decimal as a fraction with a denominator of 10, 100, 1000, etc., then simplifying. For example, 0.25 = 25/100 = 1/4.
2
Addition of Fractions and Decimals
To add a fraction and a decimal, you can either convert the fraction to a decimal and then perform decimal addition, or convert the decimal to a fraction, find a common denominator, and then perform fraction addition. Both methods are valid and can be chosen based on the numbers involved.
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