Answer:
Option C
Explanation:
In order to find the answer to this question you need to convert the mixed numbers into improper fractions and then solve by means of multiplication.
![4(1)/(5) *2(1)/(7)](https://img.qammunity.org/2022/formulas/mathematics/college/mztpjz8q4ote1b0p29n6iwr64f9qiyo0dm.png)
Convert into improper fractions:
![4(1)/(5) =5*4=20+1=(21)/(5)](https://img.qammunity.org/2022/formulas/mathematics/college/pbkgo15tfbfiaqln20c32ubl8mrfkisx91.png)
![2(1)/(7) =7*2=14+1=(15)/(7)](https://img.qammunity.org/2022/formulas/mathematics/college/a26h0ah238fu1lmiayrzurmq8ublxsmjd4.png)
![(21)/(5)*(15)/(7)](https://img.qammunity.org/2022/formulas/mathematics/college/8nxkjr3bcfg5nlcyuuxfuw6znhizlwnlr2.png)
Multiply:
![21*15=315](https://img.qammunity.org/2022/formulas/mathematics/college/mm5kczcin7tcv5hoth3tmrynr7edg7s8zs.png)
![5*7=35](https://img.qammunity.org/2022/formulas/mathematics/college/o8ofgiunayh84ux8jum8f3jwlib4iomqq8.png)
![=(315)/(35)](https://img.qammunity.org/2022/formulas/mathematics/college/ozdiy0nu9i9lp8e7wjt00ma57af4bllxr7.png)
Simplify:
![315/5=63](https://img.qammunity.org/2022/formulas/mathematics/college/jyfozpe1oapkrs13p0wm299b5zwvnd8o5w.png)
![35/5=7](https://img.qammunity.org/2022/formulas/mathematics/college/aethndhbhqpdf0bl28t93cgy9e6g20ww6v.png)
Simplify once more:
![63/7=9](https://img.qammunity.org/2022/formulas/mathematics/college/3ezusysi9dcqkbtf4pl9incidq9uf27e9x.png)
![7/7=1](https://img.qammunity.org/2022/formulas/mathematics/college/na2nd5c3w05zybrj1giq0timijzt765ucb.png)
![=(9)/(1) =9](https://img.qammunity.org/2022/formulas/mathematics/college/ss27yfxpaqsq6uu4ws5fp8fjgff946z3wq.png)
![=9](https://img.qammunity.org/2022/formulas/mathematics/high-school/5jjdy5rmda5ssfu2fmg0extuyfqqd9gn7s.png)
Hope this helps.