What is 1.375 as a fraction?
The Correct Answer and Explanation is :
To convert the decimal number 1.375 into a fraction, follow these steps:
- Separate the Whole Number and the Decimal Part: The number 1.375 consists of a whole number part (1) and a decimal part (0.375).
- Convert the Decimal Part to a Fraction:
- The decimal 0.375 can be expressed as a fraction. Since it has three decimal places, we can write it as:
[
0.375 = \frac{375}{1000}
] - To simplify this fraction, we need to find the greatest common divisor (GCD) of 375 and 1000. The GCD is 125, so we divide both the numerator and the denominator by 125:
[
\frac{375 \div 125}{1000 \div 125} = \frac{3}{8}
]
- Combine the Whole Number and the Fraction: Now, we can express the entire number (1.375) as a mixed number, which consists of the whole number part and the fractional part:
[
1.375 = 1 + 0.375 = 1 + \frac{3}{8}
]
- To express this as an improper fraction, we convert the whole number into a fraction. Since 1 can be written as (\frac{8}{8}), we combine the two fractions:
[
1 + \frac{3}{8} = \frac{8}{8} + \frac{3}{8} = \frac{11}{8}
]
- Final Result: Thus, the decimal 1.375 as a fraction is:
[
\frac{11}{8}
]
Summary
The process of converting a decimal to a fraction involves separating the whole number and converting the decimal part into a fraction. The key is simplifying the fraction derived from the decimal. Finally, combine the whole number with the fraction to form an improper fraction. For 1.375, the result is (\frac{11}{8}).