HESI A2 Math: Fractions and Decimals
Fractions and decimals are foundational math skills that can appear in many different types of problems. If these concepts are shaky, more complicated calculations can become difficult. Fortunately, the basic rules are straightforward with practice.
Converting Fractions to Decimals
To convert a fraction to a decimal, divide the numerator by the denominator. For example: 3 ÷ 4 = 0.75 Therefore: 3/4 = 0.75
Converting Decimals to Fractions
Write the decimal over the appropriate power of ten. For example: 0.75 = 75/100 Then simplify: 75/100 = 3/4
Adding Fractions
If fractions have the same denominator, add the numerators. For example: 2/7 + 3/7 = 5/7 When denominators are different, you need a common denominator first.
Multiplying Fractions
Multiply the numerators together and the denominators together. For example: 2/3 × 4/5 = 8/15 Then simplify if possible.
Dividing Fractions
When dividing fractions, multiply by the reciprocal of the second fraction. For example: 2/3 ÷ 4/5 becomes: 2/3 × 5/4 = 10/12 = 5/6
Compare Your Answer With an Estimate
Estimation can help identify mistakes. For example, if you multiply two numbers that are both less than 1, the result will generally also be less than 1.
Practice All Four Operations
Don't practice only addition. Create mixed practice sets containing:
- Addition
- Subtraction
- Multiplication
- Division
- Fraction-to-decimal conversions
- Decimal-to-fraction conversions
Final Takeaway
Strong fraction and decimal skills can make HESI A2 Math questions much easier. Practice converting between forms and performing all four basic operations until the process becomes familiar.
