Evaluate the expression shown below and write your answer as a mixed number in simplest form: 1 7/10 divided by 3/4
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
So, 1 7/10 ÷ 3/4 can be rewritten as:
(17/10) ÷ (3/4)
To simplify further, we can multiply the numerators together and the denominators together:
(17/10) * (4/3)
Multiplying these fractions gives us:
(17 * 4) / (10 * 3) = 68/30
To express this fraction as a mixed number, we divide the numerator (68) by the denominator (30) and write the quotient as the whole number, and the remainder as the fraction:
68 divided by 30 equals 2, with a remainder of 8.
So, the answer is 2 8/30. However, we can simplify this fraction further.
Both 8 and 30 have a common factor of 2. Dividing both the numerator and denominator by 2 gives us:
2 4/15
Hence, the expression 1 7/10 ÷ 3/4, in simplest form, is equal to 2 4/15.