Brigid is building a table with her mom as a weekend project. She needs 5.875 feet of wood. What is this amount as a fraction? please explain how you got the answer
To convert 5.875 feet to a fraction, we can follow these steps:
1. We first determine the denominator of the fraction, which would be the base unit of measure. In this case, the base unit is 1 foot.
2. Next, we look at the decimal value, which represents the fractional part of the base unit. In this case, the decimal part is .875.
3. To convert the decimal part to a fraction, we can take the decimal value as the numerator and the base unit (1 foot) as the denominator. Since the decimal part is in thousandths, we can multiply both the numerator and denominator by 1000 to eliminate the decimal.
→ .875 * 1000 = 875
→ 1 foot * 1000 = 1000
4. Therefore, we can write 5.875 feet as the fraction 5 875/1000.
5. To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 125 in this case.
→ 5 875 ÷ 125 = 47
→ 1000 ÷ 125 = 8
6. The simplified fraction is 47/8.
Thus, 5.875 feet can be expressed as the fraction 47/8.
47/8 as a mixed fraction
To convert the fraction 47/8 to a mixed fraction, follow these steps:
1. Divide the numerator (47) by the denominator (8).
→ 47 ÷ 8 = 5 remainder 7
2. Write down the whole number part of the mixed fraction, which is the result of the division: 5.
3. The remainder (7) becomes the numerator of the fractional part.
4. The denominator remains the same: 8.
Therefore, the mixed fraction equivalent to 47/8 is 5 7/8.
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To express 5.875 feet as a fraction, we need to convert the decimal to a fraction.
Step 1: Determine the denominator:
The number 5.875 has three decimal places, which means it has three digits after the decimal point. To convert this decimal to a fraction, we can use the power of 10 that corresponds to the number of decimal places. In this case, the denominator will be 10 raised to the power of 3, or 1000.
Step 2: Write the decimal as a fraction:
Since 5.875 is already a decimal, we can write it as a fraction by placing the number 5.875 over the denominator of 1000.
Therefore, 5.875 feet can be expressed as the fraction 5875/1000.
However, we can simplify or reduce this fraction by dividing both the numerator and denominator by their greatest common factor, which is 125.
Dividing the numerator (5875) by 125 equals 47, and dividing the denominator (1000) by 125 equals 8.
So the simplified fraction is 47/8.
Therefore, 5.875 feet can be expressed as the fraction 47/8.
To express the amount of wood needed as a fraction, we need to convert the decimal value into a fraction.
Step 1: Determine the denominator
The decimal value has three digits after the decimal point (0.875), so the denominator of the fraction will be 1000.
Step 2: Convert the decimal into a fraction
Take the decimal part (0.875) and divide it by the denominator (1000):
0.875 ÷ 1000 = 875/1000
Step 3: Simplify the fraction (if possible)
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor. In this case, 875 and 1000 can be divided by 125:
875 ÷ 125 = 7
1000 ÷ 125 = 8
Thus, the simplified fraction is 7/8.
Therefore, the amount of wood needed (5.875 feet) can be expressed as the fraction 7/8.