Answer:
![\Huge{\underline{\boxed{\huge\color{red}\bf \: 90}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/1cx0hdb663xmxtf7xpw45kb4dul7ymy4xg.png)
Explanation:
![\underline{ \bf \: Given \: Arithmetic \: expression:}](https://img.qammunity.org/2023/formulas/mathematics/high-school/oj5q08lw1ytqiwr51e3vcnoniy0dxn4woa.png)
![\sf \: 150 \% \: of \: 60](https://img.qammunity.org/2023/formulas/mathematics/high-school/wpc0fhnmyfh8qh385j5vuu5jpffprzxvtb.png)
![\underline{\bf \: Solution:-}](https://img.qammunity.org/2023/formulas/mathematics/high-school/krd48nlfu1oy475h37zhlx0y74qd2m8wbo.png)
Percent is a ratio whose second term is 100.
In words , 150% will be represented as 150 out of 100.
![\sf \longmapsto150 \% \: of \: 60](https://img.qammunity.org/2023/formulas/mathematics/high-school/f22ky11h1cprhuxofl4ktwoqnc6pwy7ptm.png)
Remove the percentage sign and divide 150 by 100:-
![\sf \longmapsto (150)/(100) \: of \: 60](https://img.qammunity.org/2023/formulas/mathematics/high-school/p6504vyw6ez3q4q0y9ay0qqoz87b86v8rp.png)
We know that of in percentage means Multiplication.So remove of(Multiplication)in this arithmetic expression and insert "×" :
![\sf \longmapsto \cfrac{150}{100} * 60](https://img.qammunity.org/2023/formulas/mathematics/high-school/715kdd6bwwxsnmi4fk5a1ox5t4nw06uu0t.png)
Use cancellation method and cancel a 0 of 100 and a 0 of 150, which is:
![\sf \longmapsto (15 \cancel0)/(10 \cancel0) * 60](https://img.qammunity.org/2023/formulas/mathematics/high-school/x4u55qy08s4r8r1y8s65sbzm8mqsok0387.png)
Results to:
![\sf \longmapsto \cfrac{15}{10} * 60](https://img.qammunity.org/2023/formulas/mathematics/high-school/nwynbens9tk8t5epjc5icjsgbk4b6wdms2.png)
Now cancel another 0 of 10 and a 0 of 60:
![\sf \longmapsto \: \cfrac{15}{ 1\cancel0} * 6 \cancel0](https://img.qammunity.org/2023/formulas/mathematics/high-school/63mtn1gx6rhuboa7yd1prc7uywv6tezfws.png)
Results to:
![\sf \longmapsto \: \cfrac{15}{1} * 6](https://img.qammunity.org/2023/formulas/mathematics/high-school/wbwg00p7mlgj6ywfhaprs20h0imkldslrv.png)
As 1 is in the denominator , so here 1 has no value.
![\sf \longmapsto15 * 6](https://img.qammunity.org/2023/formulas/mathematics/high-school/fngywmuo56ol76uplupl1p5dtgps326umu.png)
Simply multiply:-
![\sf \longmapsto90](https://img.qammunity.org/2023/formulas/mathematics/high-school/y0nmo7gm2fksimodrzci8y7d73lphq7vzd.png)
So, the answer of the given arithmetic expression is 90.
![\rule{175pt}{2pt}](https://img.qammunity.org/2023/formulas/mathematics/high-school/s4lve65dhke1mtzmh098cvh3ryof50vhdc.png)
I hope this helps!
Please let me know if you have any questions.