Final answer:
To multiply 1 3/4 by 7 1/5, convert the mixed fractions to improper fractions, multiply the numerators and denominators, simplify the fraction, and write the answer as a mixed fraction.
Step-by-step explanation:
To multiply 1 3/4 by 7 1/5, first convert the mixed fractions to improper fractions. The improper fractions are 7/4 and 36/5. Then, multiply the numerators and denominators: 7/4 * 36/5 = 7 * 36 / 4 * 5 = 252 / 20. Simplify this fraction by dividing both numerator and denominator by their greatest common divisor, which is 4. This gives us 63 / 5.
Finally, write the answer as a mixed fraction by dividing the numerator (63) by the denominator (5). The quotient is 12 with a remainder of 3. So, the final answer is 12 3/5.