estimate 6 4/5*1 5/8
7 * 2 = 14
Probably closer to 11.
6 4/5 = 6 + 4 / 5 = 30 / 5 + 4 / 5 = 34 / 5
1 5/8 = 1 + 5 / 8 = 8 / 8 + 5 / 8 = 13 / 8
6 4/5 ∙ 1 5/8 = 34 / 5 ∙ 13 / 8 = 34 ∙ 13 / 5 ∙ 8 =
442 / 40 = 2 ∙ 221 / 2 ∙ 20 = 221 / 20
21 / 20 = ( 220 + 1 ) / 20 = 220 / 20 + 1 / 20 =
20 ∙ 11 / 20 + 1 / 20 = 11 + 1 / 20 = 11 1/20
6 4/5 ∙ 1 5/8 = 221 / 20 = 11 1/20
221 / 20 = ( 220 + 1 ) / 20 = 220 / 20 + 1 / 20 =
20 ∙ 11 / 20 + 1 / 20 = 11 + 1 / 20 = 11 1/20
6 4/5 ∙ 1 5/8 = 221 / 20 = 11 1/20
To estimate the product of 6 4/5 and 1 5/8, you can follow these steps:
Step 1: Convert the mixed numbers into improper fractions.
6 4/5 = (6 * 5 + 4) / 5 = 34/5
1 5/8 = (1 * 8 + 5) / 8 = 13/8
Step 2: Multiply the two fractions together.
34/5 * 13/8 = (34 * 13) / (5 * 8) = 442/40
Step 3: Simplify the fraction, if possible.
To simplify the fraction, find the greatest common divisor (GCD) of the numerator (442) and the denominator (40) and divide them both by the GCD. In this case, both numbers are divisible by 2.
442 ÷ 2 = 221
40 ÷ 2 = 20
So, the simplified fraction is 221/20.
Step 4: Find the estimated quotient.
To estimate the quotient, divide the numerator by the denominator. In this case, divide 221 by 20.
221 ÷ 20 = 11 with a remainder of 1
Therefore, the estimated quotient of 6 4/5 * 1 5/8 is approximately 11 1/20.