a woman's long jump record is about 1 1/6 the distance of the 15-16-year-old girl's record of 20 13/14 feet. find the distance of the women's record to the nearest foot
1.166666 * 20.9285714 = 24.4166 = 24 feet
To find the distance of the women's long jump record, we need to calculate 1 1/6 of the 15-16-year-old girl's record of 20 13/14 feet.
First, let's convert the mixed number to improper fraction for easier calculation.
20 13/14 feet = (20 * 14 + 13)/14 = (280 + 13)/14 = 293/14
Now, let's calculate 1 1/6 of 293/14:
(1 + 1/6) * (293/14) = (6/6 + 1/6) * (293/14) = (7/6) * (293/14) = 2051/84
The calculated distance is 2051/84 feet.
To find the distance to the nearest foot, we need to round the calculated distance. We divide 2051 by 84 and round to the nearest whole number.
2051 ÷ 84 = 24.44048
Rounding 24.44048 to the nearest whole number gives us 24.
Therefore, the distance of the women's long jump record is approximately 24 feet.
To find the distance of the woman's long jump record, we need to multiply her record by 1 1/6.
First, let's convert the 15-16-year-old girl's record to a mixed fraction:
20 13/14 feet = (20 * 14 + 13) / 14 = 293/14 feet.
Now, we can calculate the woman's record by multiplying the girl's record by 1 1/6:
(293/14) * (7/6) = (293 * 7) / (14 * 6) = 2041/84 feet.
To find the distance to the nearest foot, we divide the numerator by the denominator and round to the nearest whole number:
Distance ≈ 2041 feet / 84 ≈ 24.3 feet.
Rounding to the nearest foot, the women's long jump record is approximately 24 feet to the nearest foot.