La couturière répare la manche de ma veste.

Couturière means seamstress or dressmaker and refers to a woman.
The masculine form is couturier, meaning tailor or fashion designer for a man.

The ending -ière often marks a feminine noun in French.

French usually uses an article where English often does too.
So la couturière means the seamstress.

• la = the for a feminine singular noun
• couturière is feminine, so it takes la

Répare comes from the verb réparer, which means to repair or to fix.

In this sentence, répare is the third-person singular present tense form, used with la couturière:

• je répare = I repair
• tu répares = you repair
• il / elle répare = he / she repairs

So La couturière répare... means The seamstress repairs... or is repairing..., depending on context.

They are doing two different jobs:

• La couturière = the seamstress
• la manche = the sleeve

Both couturière and manche are feminine singular nouns, so each one takes la.

Here, manche means sleeve.

So la manche de ma veste means the sleeve of my jacket.

Be careful: manche can have other meanings in different contexts, but in clothing, it means sleeve.

French often expresses this kind of relationship with de:

• la manche de ma veste = the sleeve of my jacket

This is the most natural way to say it because the sleeve is understood as the sleeve belonging to the jacket.

Using ma manche would mean my sleeve, which sounds odd here because the sleeve is being identified as part of the jacket, not directly possessed by the speaker.

French uses de to mean of in many possession or relationship phrases.

So:

• la manche de ma veste = literally the sleeve of my jacket

This is normal French structure. English often prefers my jacket’s sleeve or simply the sleeve of my jacket, but French generally uses de here.

Because veste is a feminine singular noun.

French possessive adjectives must agree with the noun being possessed, not with the owner:

• mon = my + masculine singular noun
• ma = my + feminine singular noun
• mes = my + plural noun

So:

• ma veste = my jacket
• mon manteau = my coat
• mes vêtements = my clothes

Because de is the normal way to link one noun to another in this kind of phrase.

• la manche de ma veste = the sleeve of my jacket

Using à for possession is much more limited in French and would not be natural here.

It can mean both, depending on context.

French simple present often covers both:

• she repairs
• she is repairing

So La couturière répare la manche de ma veste could mean either:

• The seamstress repairs the sleeve of my jacket
• The seamstress is repairing the sleeve of my jacket

Context tells you which is more natural.

A helpful approximation is:

coo-too-ree-air

A bit more carefully:

• cou sounds like coo
• tu sounds like a French tu, which does not exist exactly in English
• rière sounds roughly like ree-air

Also:

• the r in French is different from English
• the final e is not pronounced as a full extra syllable

The word order is very standard French:

Subject + verb + object + modifier

• La couturière = subject
• répare = verb
• la manche = direct object
• de ma veste = phrase modifying manche

So the structure is straightforward and very common in French.

Yes. Depending on context, natural English translations could include:

• The seamstress repairs the sleeve of my jacket.
• The seamstress is repairing my jacket sleeve.
• The seamstress is fixing the sleeve of my jacket.

French often maps to more than one natural English version.