1.43 convert this decimal to a fraction
The Correct Answer and Explanation is:
To convert the decimal 1.43 to a fraction, we can follow these steps:
Step 1: Express the Decimal as a Fraction
First, write the decimal 1.43 as 1.43/1. To eliminate the decimal point, multiply both the numerator and denominator by a power of 10 that will shift the decimal point two places to the right (since there are two digits after the decimal point). In this case, multiply both the numerator and denominator by 100:
[
\frac{1.43}{1} \times \frac{100}{100} = \frac{143}{100}
]
So, 1.43 becomes 143/100.
Step 2: Simplify the Fraction (If Possible)
Next, check if the fraction can be simplified. We need to find the greatest common divisor (GCD) of 143 and 100 to simplify the fraction. The GCD of 143 and 100 is 1, since 143 is a prime number and does not share any common factors with 100. Therefore, the fraction 143/100 is already in its simplest form.
Step 3: Convert the Fraction Back to a Mixed Number (If Desired)
Since 143/100 is an improper fraction (the numerator is larger than the denominator), you can convert it to a mixed number. To do this, divide 143 by 100:
[
143 \div 100 = 1 \text{ remainder } 43
]
So, the mixed number form of 143/100 is:
[
1 \frac{43}{100}
]
Final Answer:
The decimal 1.43 can be expressed as the fraction 143/100 or as the mixed number 1 43/100.
Explanation:
The process of converting a decimal to a fraction involves eliminating the decimal point by multiplying the decimal by a power of 10 (depending on how many digits are after the decimal) and then simplifying the resulting fraction. If the fraction is improper, converting it into a mixed number is a helpful way to express the value.