Who is the house of representatives led by?
The presiding officer is the speaker of the House, who is elected by the members thereof (and is therefore traditionally the leader of the controlling party). The speaker and other floor leaders are chosen by the Democratic Caucus or the Republican Conference, depending on whichever party has more voting members.
Who from the controlling is the house of representatives led by?
speaker of the House
United States House of Representatives
No context provided
Who is the house of representatives led by, leading the party with the fewer number of representatives?
minority leader
No context provided
Who is the house of representatives led by, leading the party with the greater number of representatives but under the leadership of the speaker?
majority leader
United States House of Representatives
https://en.wikipedia.org/wiki/United%20States%20House%20of%20Representatives
The House is composed of representatives who sit in congressional districts allocated to each state on a basis of population as measured by the U.S. Census, with each district having one representative, provided that each state is entitled to at least one.
United States House of Representatives
The presiding officer is the Speaker of the House, who is elected by the members thereof (and is the leader of the majority party).
United States House of Representatives
Kevin Owen McCarthy (born January 26, 1965) is an American businessman and politician serving as House Minority Leader in the United States House of Representatives since 2019. 
Kevin McCarthy (California politician)
Steny Hamilton Hoyer (/ˈstɛni ˈhɔɪ.ər/ STENN-ee HOY-ər; born June 14, 1939) is an American politician and attorney serving as U.S. Representative for Maryland's 5th congressional district since 1981 and as House Majority Leader since 2019.
Steny Hoyer
Nancy Patricia Pelosi (/pəˈloʊsi/; née D'Alesandro; born March 26, 1940) is an American politician serving as speaker of the United States House of Representatives since 2019, and previously from 2007 to 2011.
Nancy Pelosi
The House is made of of representatives from each state the amount dependent on the population of the state. The the party with the fewer amount of representatives is led by minority leader, Kevin McCarthy. The party with the greater amount of representatives is led by majority leader Steny Hoyer.  The Speaker of the House which is the presiding officer and leader of the House is Nancy Pelosi.