La profesora dice que tu letra es clara y fácil de comprender.

La profesora means the teacher. In Spanish, the definite article (el, la, los, las) is often used where English might or might not use the.

Here, la profesora refers to a specific teacher. If you said just profesora, that would usually sound incomplete unless you were directly addressing her, as in Profesora, tengo una pregunta.

Also, profesora is the feminine form of profesor, so it tells you the teacher is female.

Dice is the third-person singular form of the verb decir (to say / to tell).

So:

• yo digo = I say
• tú dices = you say
• él/ella dice = he/she says

Because the subject is la profesora (she / the teacher), Spanish uses dice.

In this sentence, que means that and introduces a new clause:

• La profesora dice = The teacher says
• que tu letra es clara y fácil de comprender = that your handwriting is clear and easy to understand

In English, that is often optional:
The teacher says (that) your handwriting is clear...

In Spanish, que is normally kept here.

Because here que is a conjunction, meaning that.

Spanish uses qué with an accent when it is interrogative or exclamatory, for example:

• ¿Qué dices? = What are you saying?
• ¡Qué bonito! = How lovely!

But in dice que..., it is just a linking word, so it is que, with no accent.

This is a very common question.

• tu = your
• tú = you

So in tu letra, tu is a possessive adjective: your handwriting.

Examples:

• Tu letra = your handwriting
• Tú escribes bien = you write well

The accent helps distinguish them.

Yes, letra can mean several related things.

Common meanings include:

• a letter of the alphabet
• lyrics of a song
• handwriting

In the phrase tu letra, it often means your handwriting or the way you write by hand.

So tu letra es clara means your handwriting is clear, not your letter is clear.

Because clara agrees with letra, and letra is a feminine singular noun.

In Spanish, many adjectives change to match the noun in gender and number:

• letra clara = clear handwriting
• texto claro = clear text

So:

• feminine singular noun: clara
• masculine singular noun: claro

That is why the sentence says tu letra es clara.

Because not all adjectives change form for gender.

Fácil is an adjective with the same form for masculine and feminine singular:

• un libro fácil = an easy book
• una tarea fácil = an easy task

So with letra, it stays fácil.

Only the plural changes:

• fácil = singular
• fáciles = plural

That is why Spanish says clara y fácil:

• clara changes
• fácil does not

This is a very common structure:

• adjective + de + infinitive

So:

• fácil de comprender = easy to understand
• difícil de explicar = difficult to explain
• imposible de olvidar = impossible to forget

Spanish uses de before the infinitive here, whereas English uses to.

So you cannot say fácil comprender in this sentence. The normal pattern is fácil de comprender.

Yes. Entender and comprender both mean to understand.

In many contexts, they are interchangeable:

• fácil de entender
• fácil de comprender

Both sound natural.

Sometimes comprender can sound a little more formal or slightly more complete/deeper in meaning, but in a sentence like this, the difference is very small.

Because Spanish is describing a characteristic of the handwriting, not a temporary condition or location.

• ser is used for identity, characteristics, and more permanent descriptions
• estar is used for states, locations, and many temporary conditions

Here, tu letra es clara means your handwriting is clear as a quality.

Using está would sound unusual in this context unless you were talking about how something appears in a specific moment or condition.

It refers to tu letra. The idea is:

your handwriting is easy to understand

Spanish does not need to state for someone to understand it. That idea is understood from the structure.

So fácil de comprender means something like:

• easy to understand
• easy for others to read and understand

In natural English, we would usually just say easy to understand or even easy to read depending on context.