To perform the operation of dividing the fraction 5/6 by 10/21, we start by using the rule of dividing fractions. When dividing by a fraction, you multiply by its reciprocal.
So, we need to rewrite the fraction:
5/6 ÷ 10/21 becomes 5/6 × 21/10.
Now we multiply the numerators and the denominators:
(5 × 21) / (6 × 10) = 105 / 60.
Next, we simplify the fraction. Both the numerator and denominator can be divided by 15:
105 ÷ 15 = 7 and 60 ÷ 15 = 4.
Thus, the final answer is:
7/4 or 1.75 in decimal form.
In summary, when you divide fractions, you multiply by the reciprocal and simplify to get your final answer. So, 5/6 divided by 10/21 simplifies to 7/4 or 1.75.