The world record for a jump by a frog is 19 feet 3 1/8 in. How much further would a frog need to jump to set a new world record for 7 yards?
3 ft in 1 yard don't u do 7 times 3 =21 then times it by 3 1/8?
Helps
To find out how much further a frog needs to jump to set a new world record for 7 yards, we need to convert 7 yards to the equivalent distance in feet. Since 1 yard is equal to 3 feet, we can multiply 7 by 3 to get the distance in feet.
7 yards * 3 feet/yard = 21 feet
Now, we can compare this distance to the current world record of 19 feet 3 1/8 inches. To do this, we need to convert the inches to feet. Since there are 12 inches in a foot, we divide 1/8 by 12 to convert it to feet.
1/8 inch * 1 foot/12 inches = 1/96 feet
Adding this conversion to the current world record:
19 feet + (3 1/8 feet + 1/96 feet) = 19 feet + (25/8 feet + 1/96 feet)
To add fractional values, we need to get a common denominator. The common denominator here is 96.
19 feet + (25/8 feet + 1/96 feet) = 19 feet + (300/96 feet + 1/96 feet)
Now that we have a common denominator, we can add the fractions:
19 feet + (300/96 feet + 1/96 feet) = 19 feet + (301/96 feet)
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 1 in this case:
301/96 feet = 3 feet + (13/96 feet)
Now, let's add the whole number and the fraction separately:
3 feet + (13/96 feet) = 3 feet + (1/8 feet + 5/96 feet)
Again, we add the fractions with the common denominator:
3 feet + (1/8 feet + 5/96 feet) = 3 feet + (12/96 feet + 5/96 feet)
Now, we can add the fractions:
3 feet + (12/96 feet + 5/96 feet) = 3 feet + (17/96 feet)
Adding the whole number and fraction together:
3 feet + (17/96 feet) = 3 feet + (17/96 feet)
Therefore, a frog would need to jump an additional 3 feet and 17/96 feet to set a new world record for 7 yards.