what decimal is equivalent to 1 5/8
The correct answer and explanation is:
To convert the mixed fraction 1581 \frac{5}{8} into a decimal, follow these steps:
Step 1: Separate the Whole Number
The mixed fraction consists of a whole number and a fraction. The whole number is 1, so the decimal equivalent will have a value greater than or equal to 1.
Step 2: Convert the Fraction to Decimal
To convert the fraction 58\frac{5}{8} into a decimal, divide the numerator (5) by the denominator (8). Perform the division: 58=0.625\frac{5}{8} = 0.625
Step 3: Add the Whole Number to the Fractional Decimal
Now, add the whole number part (1) to the decimal equivalent of the fraction 58\frac{5}{8}: 1+0.625=1.6251 + 0.625 = 1.625
Step 4: Conclusion
Thus, the decimal equivalent of 1581 \frac{5}{8} is 1.625.
Explanation:
This process involves dividing the numerator of the fraction by the denominator to get the fractional decimal equivalent. Once the fraction is converted, it is added to the whole number to get the final decimal result. The division step for 58\frac{5}{8} is straightforward since 5 divided by 8 equals 0.625. This result is added to the whole number 1, making the final decimal value 1.625.
It’s important to remember that mixed fractions can always be converted into improper fractions first, and then the improper fraction can be divided to get a decimal. But in this case, splitting the whole number and fraction, then converting the fraction, is often the simpler approach.