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.
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
5 answers
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.
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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