La convivencia depende de la compatibilidad.

Because both are feminine singular nouns in Spanish.

• la convivencia
• la compatibilidad

Spanish often uses the definite article more than English does, especially when talking about things in a general sense. So this sentence is making a general statement about those two ideas, not talking about one specific case only.

Convivencia is a very useful Spanish noun, and it can mean more than one thing depending on context. In this sentence, it usually refers to living together, getting along in shared living, or peaceful coexistence.

For example, it can be used for:

• a couple living together
• flatmates or housemates
• family life in the same home
• even broader social coexistence in some contexts

So it is wider than just the English word coexistence. In everyday Spanish, it often has a very practical sense of how well people live together.

Because the verb depender normally takes the preposition de.

So:

• depender de algo = to depend on something
• depender de alguien = to depend on someone

Examples:

• Todo depende del tiempo.
• Eso depende de ti.
• La convivencia depende de la compatibilidad.

This is just something you need to learn with the verb: depender de.

In Spanish, de + el contracts to del:

• de + el = del

But de + la does not contract:

• de + la = de la

So:

• depende del tiempo
• depende de la compatibilidad

Only de + el becomes del.

Not exactly, but they are closely related.

• compatibilidad = compatibility
• compatible = compatible

In the sentence, compatibilidad is a noun, so the structure is depends on compatibility.

If you wanted to use the adjective idea, you could say something like:

• La convivencia depende de que sean compatibles.
• La convivencia depende de ser compatibles.

But the original sentence uses the noun compatibilidad, which sounds neat and natural.

Both nouns are feminine:

• la convivencia
• la compatibilidad

Why?

• Nouns ending in -encia are often feminine.
• Nouns ending in -dad are almost always feminine.

So convivencia and compatibilidad both fit common patterns that help learners guess gender correctly.

In standard Peninsular Spanish, it is pronounced roughly like:

kon-bee-BEN-thya

A few useful details:

• v sounds very similar to b in Spanish.
• The c before i in Spain is pronounced like the th in think.
• The stress is on -ven-: conviVENcia

So in Spain:

• convivencia → kon-bee-BEN-thya

In much of Latin America, the c before i would sound like s instead.

Roughly:

kom-pa-tee-bee-lee-DAD

Key points:

• Stress falls on the last syllable: -dad
• d at the end is usually softer than in English
• Every vowel is pronounced clearly

So you should think of it as: com-pa-ti-bi-li-DAD

It sounds like a general statement.

Using la convivencia and la compatibilidad gives the sentence a broad, almost abstract feel, like saying:

• living together depends on compatibility
• coexistence depends on compatibility

Spanish often uses the definite article this way when talking about concepts in general.

If you wanted to make it more clearly about a specific case, you would usually add more context, for example:

• La convivencia entre ellos depende de la compatibilidad de sus caracteres.

Yes, grammatically you could, but the meaning would shift a bit.

• convivencia often suggests shared daily life or living together
• coexistencia usually sounds more formal or broader, like coexistence between groups, cultures, ideas, or communities

So if you are talking about personal relationships, a home, or day-to-day life, convivencia is often the better choice.

It is a very common Spanish pattern:

[noun] + depende de + [noun]

Here:

• La convivencia = subject
• depende = verb
• de la compatibilidad = prepositional complement

You can reuse this pattern easily:

• El éxito depende del esfuerzo.
• La salud depende de los hábitos.
• La amistad depende de la confianza.

It is a useful model for making general statements in Spanish.