How do you calculate 420 divided by 5/8?
420÷(5/8)
=420 * (8/5)
=84*5 * 8 / 5
= 84*8
= 672
420/(5/8)=(420/1)/(5/8)=(420*8)/(5*1)
=3360/5=672
To calculate 420 divided by 5/8, you need to follow these steps:
Step 1: Convert the division of fractions to multiplication. This is done by taking the reciprocal of the divisor (5/8). The reciprocal of a fraction is obtained by flipping the numerator and denominator. Therefore, the reciprocal of 5/8 is 8/5.
Step 2: Multiply the dividend (420) by the reciprocal of the divisor (8/5). You can do this by multiplying the numerators together to get the new numerator and multiplying the denominators together to get the new denominator. So, 420 multiplied by 8/5 is calculated as (420 * 8)/(1 * 5), which simplifies to 3360/5.
Step 3: Simplify the fraction. The resulting fraction, 3360/5, is not in its simplest form. To simplify it, find the greatest common divisor (GCD) of the numerator and denominator, which is 5. Divide both the numerator and denominator by the GCD to obtain the simplified fraction. So, 3360 divided by 5 simplifies to 672.
Therefore, 420 divided by 5/8 is equal to 672.