Write this ratio as a fraction in simplest form without any units.
42
inches to
4
feet
The first step is to convert both measurements to the same unit. Since 1 foot = 12 inches, we can convert the 4 feet into inches by multiplying by 12:
4 feet = 4 x 12 inches = 48 inches
Now we can write the ratio as:
42 inches : 48 inches
To simplify this ratio, we can divide both numbers by their greatest common factor (GCF), which is 6:
42 ÷ 6 = 7
48 ÷ 6 = 8
The simplified ratio is:
7:8
Therefore, the ratio of 42 inches to 4 feet is 7:8 in its simplest form without any units.
To write the ratio of 42 inches to 4 feet as a fraction in simplest form without any units, we need to convert one of the measurements to match the units of the other.
Since there are 12 inches in 1 foot, we can convert 4 feet to inches by multiplying it by 12:
4 feet * 12 inches/foot = 48 inches
Now we have 42 inches to 48 inches. To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 6:
42/6 : 48/6
This simplifies to:
7/8
Therefore, the ratio of 42 inches to 4 feet, without any units, is 7/8.